what is 10k is how many miles?

Answers

Answer 1

The value of kilogram in miles can simply be calculated by dividing the kilometer by 1.609 so 10 kilometers into 6.21371 miles.

In 10k, the "k" stands for kilometres. In terms of miles, 10 kilometres translates to about 6.2 miles, or a half marathon, using the kph to mph conversion. To put that distance into perspective, a 5k is equal to 3.1 miles, or half of it.

So, how does a 10k race go? One of the most well-liked long-distance running competitions is it. Both experienced and novice runners will enjoy the considerable challenge it offers.

A mile on a track consists of four laps, hence a 10k run requires 25 laps. If a 10k event seems a little intimidating, keep in mind that a marathon is 26.2 miles long. By comparison, a 10k seems easy, doesn't it?

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Related Questions

For the probability distribution of a discrete random variable x, the sum of the probabilities of all values of x must be:
a. In the range of zero to 1.
b. equal to zero.
c. equal to 1.
d. equal to 0.5.

Answers

For the probability distribution of a discrete random variable x, the sum of the probabilities of all values of x must be: equal to 1. The Option C is correct.

Why is sum of probabilities of all values of x equal to 1?

The sum of the probabilities of all values of a discrete random variable x must be equal to 1 because, by definition, the probability distribution of a random variable represents the probabilities of all possible outcomes of an experiment, and the sum of the probabilities of all possible outcomes must be equal to 1.

In other words, the probability distribution of a discrete random variable specifies the likelihood of each possible value that the random variable can take on, and the total probability of all possible outcomes must add up to 1, since the outcome of the experiment must be one of the possible values of the random variable.

Mathematically, this can be expressed as:

∑P(x) = 1 where P(x) is the probability of the random variable x taking on a particular value. This equation ensures that the total probability of all possible outcomes is equal to 1, which is a fundamental principle of probability theory.

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What is (5 1/2+2 3/4)-3 1/2 because it’s so hard and I don’t get it

Answers

i think the answer is 4 3/4

Michelle has 18.9 yards of string. She cuts the string into 5 pieces of equal length. How long is each piece? Responses 2.65 yd 2.65 yd 3.27 yd 3.27 yd 3.78 yd 3.78 yd 4.08 yd

Answers

Answer:

Michelle has 18.9 yards of string. She cuts the string into 5 pieces of equal length. How long is each piece?

3.78 yd

18.9 ÷ 5

Step-by-step explanation:

You're welcome.

Answer:
3.78
Step-by-step explanation:
All you have to do is take 18.9 and divide it
evenly by 5. You will get 3.78 and there's your
answer. hope this helps.

What is a factor tree for 78?

Answers

The factor tree shows how 78 can be factored into its prime factors.

78 = [tex]2 \times 3 \times 13.[/tex]

The first step in creating a factor tree for the number 78 is to identify two factors of 78 that sum up to 78. One such pair of factors is 6 and 13. After we reach prime numbers, we can carry on breaking down each component.

Prime factorization is the process of converting a composite number into the product of its prime factors. A prime factor is a prime number that divides the original integer by itself with no remainder.

The prime factorization of the number 78 is

78 = 6 x 13

78 = 2 x 3 x 13.

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Dana is preparing cheese plates for her chess club's holiday party. She cuts a block of Colby into 9 equal pieces. Dana serves 6 pieces when the party starts. She saves 3 pieces to serve later.
What fraction of the block of Colby does Dana serve when the party starts?

Answers

Dana cuts a block of Colby cheese into 9 equal pieces. She serves 6 pieces when the party starts, which is 2/3 of the block. She saves 3 pieces to serve later, leaving 1/3 of the block remaining.

What are fractions?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number below the line is called the denominator.

Dana cuts a block of Colby cheese into 9 equal pieces. This means that each piece is 1/9th of the block of Colby cheese.

Dana serves 6 pieces of the cheese when the party starts. So the total amount of cheese that she serves is 6 times the size of each piece, which is:

6 pieces x (1/9th of the block) = 6/9 or 2/3 of the block.

Therefore, Dana serves 2/3 of the block of Colby cheese when the party starts.

She saves 3 pieces to serve later, which means that there are still 3/9 or 1/3 of the block of Colby cheese left.

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4. f(x) = 3x
y-intercept
Domain
Range
End Behavior:
As x → ∞o, f(x) →
As x→→∞, f(x) →
Domain (-2,-1,0, 1, 2}

Answers

The given function is f(x) = 3x.

To find the y-intercept, we plug in x = 0:

f(0) = 3(0) = 0

So the y-intercept is 0.

The domain of the function is given as (-2, -1, 0, 1, 2}. This means that the function is defined only for these values of x.

The range of the function is all real numbers, since for any real number y, we can find an x such that f(x) = y. We can see this from the fact that the function is a linear function with a non-zero slope.

The end behavior of the function as x approaches infinity depends on the sign of the coefficient of x, which is positive in this case. Therefore, as x → ∞, f(x) → ∞. Similarly, as x → -∞, f(x) → -∞.

Note that the given domain is a finite set of values, and does not affect the end behavior of the function as x approaches infinity or negative infinity...

A country's population in 1993 was 105 million.
In 1997 it was 110 million. Estimate
the population in 2006 using the exponential
growth formula. Round your answer to the
nearest million.
P = Aekt
Enter the correct answer.

Answers

Answer:We use the formula for exponential growth:P = Po exp(kt)Using the population data from 1993 to 1996, we can solve for the growth rate k76 = 72 exp(k(3))76/72 = exp(3k)ln (76/72) = 3kk = ln(76/72) / 3 = 0.0180In 10 years (2003), the population will be:P = Po exp(0.0180t)P = 72 exp(0.0180(10))P = 86.22 million

Step-by-step explanation:

What value of x makes this equation true -3x + 1 = 7

Answers

Answer:

x = -2

Step-by-step explanation:

-3x + 1 = 7

Subtract 1 from both sides:

-3x = 6

Divide -3 by both sides:

x = -2

what is liters to mi?

Answers

A liter is a metric unit of volume, while a milliliter (ml) is a subunit of a liter. There are 1,000 milliliters in one liter.

This means that to convert liters to milliliters, you can multiply the number of liters by 1,000. Conversely, to convert milliliters to liters, you would divide the number of milliliters by 1,000.

For example, if you have 2.5 liters of water, you can convert this to milliliters by multiplying 2.5 by 1,000, which gives you 2,500 milliliters. This conversion is commonly used in fields such as chemistry and medicine, where small amounts of liquids are measured in milliliters.

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Which describes the cross section of a square prism that passes through vertices A, B, and C?

Answers

The cross-section from any side in a square prism is always square.

What is cross-section?

A cross-section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces. Cutting an object into slices creates many parallel cross-sections.

Cross-section of a square prism :-

The cross-section of a square prism is a square. Since a square prism has its faces shaped in square and all the edges of the square prism are equal in length.

Therefore, when we cut the cube by a plane, we get a square shape.

Hence, the cross-section from any side in a square prism is always square.

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The vertex of the parabola below is at the point (2, -5). Which of the equations below could be the one for this parabola?   A. x = -4(y - 2)2  B. y = (x + 2)2 - 5

Answers

The equation y = (x - 2)² - 5 below could be the one for this parabola. Option B is the correct answer.

What is parabola?

A parabola is formed by cutting a right circular cone in half along a plane perpendicular to the cone's generator. It is a locus of a moving point whose separation from the focus is equal to its separation from a stationary line (directrix)

Focus is a fixed point.

Directrix is the name for fixed line.

The equation of the parabola is given by the formula:

y = a(x - Vₓ)² + Vy

Here, Vx and Vy are the coordinates of the vertex of the parabola.

Substituting the value of coordinates of vertex we have:

y = a(x - 2)² - 5

Hence, the equation y = (x - 2)² - 5 below could be the one for this parabola. Option B is the correct answer.

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Which of the following shows the simplified form of sine of x over the quantity 1 plus cosine of x (end quantity)?

A. sin x − tan x
B. sin x − cot x
C. csc x − cot x
D. 1

Answers

The simplified form of sine of x over the quantity 1 plus cosine of x (end quantity)  is 1. Option D

How to find the simplified form of the expression

The question can be interpreted as sin(x) / (1 + cos(x))

sin(x) / (1 + cos(x)) = (sin(x) / cos(x)) / (1/cos(x) + cos(x)/cos(x))

                      = tan(x) / (1 + sec(x))

                      = (sin(x)/cos(x)) / (cos(x)/(cos(x)+1))

                      = (sin(x)/cos(x)) / ((cos(x)+1)/cos(x))

                      = sin(x) / (cos(x) + 1)

Therefore, the simplified form of sin(x) / (1 + cos(x)) is:

sin(x) / (1 + cos(x)) = sin(x) / (cos(x) + 1) = 1

Hence, The simplified form of sine of x over the quantity 1 plus cosine of x (end quantity)  is 1

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Renaldo has a budget of $500 to buy gift boxes for a party. Large boxes cost $65 and small boxes cost $35. Write and graph an inequality that represents the number of each type of gift box that Renaldo can buy. If Renaldo buys 6 small gift boxes, how many large gift boxes can he afford to buy?

Answers

Answer:

Here is how to write and graph an inequality for the budget problem:

Let x be the number of large boxes and y be the number of small boxes. The total cost of the boxes must be less than or equal to the budget of $500. So, we can write the inequality as:

65x + 35y ≤ 500

To graph this inequality, we need to find the boundary line and the shaded region. The boundary line is the equation that we get when we replace the inequality sign with an equal sign, which is:

65x + 35y = 500

To graph this line, we need to find two points on it. We can do this by plugging in some values for x or y and solving for the other variable. For example, if x = 0, then y = 500/35 = 14.29. If y = 0, then x = 500/65 = 7.69. So, two points on the line are (0, 14.29) and (7.69, 0). We can plot these points on a coordinate plane and draw a solid line through them, since the inequality includes the equal sign.

To find the shaded region, we need to test a point that is not on the line and see if it satisfies the inequality. For example, we can test the point (0, 0), which is the origin. Plugging in x = 0 and y = 0 into the inequality, we get:

65(0) + 35(0) ≤ 500

0 ≤ 500

This is true, so the point (0, 0) is a solution to the inequality. This means that the shaded region is the area that includes the point (0, 0) and is below the line.

If Renaldo buys 6 small gift boxes, then y = 6. To find how many large gift boxes he can afford, we need to plug in y = 6 into the inequality and solve for x. We get:

65x + 35(6) ≤ 500

65x + 210 ≤ 500

65x ≤ 290

x ≤ 290/65

x ≤ 4.46

This means that Renaldo can buy at most 4 large gift boxes if he buys 6 small gift boxes. However, since x has to be a whole number, the largest possible value for x is 4. So, Renaldo can buy 4 large gift boxes and 6 small gift boxes and still stay within his budget.

I hope this helps!

Step-by-step explanation:

Solve: 2x2 = 98 please help me

Answers

Answer:

1=24.5

Step-by-step explanation:

2*2=98

4=98

2= 49

which means

1 is 24.5

(a) From the 12 albums released by a musician, the recording company wishes to release9 in a boxed set. How many different boxed sets are possible?

(b) There14 are European cities that Rashid would eventually like to visit3. On his next vacation, though, he only has time to visit of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)

Answers

Answer:

ejekkeifjejejrjjdjejejeiriririrj

write 5 x 5 x 5 x 5 using exponets

Answers

Answer:5 and a tiny 4 in the corner of that 5

Step-by-step explanation:

there are four 5s so u do 5 with little 4

the answer would be 5^4

A building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 75% of the bags from
A arrive undamaged, and a total of 95% of the bags from B arrive undamaged.
Find the probability that an undamaged bag is from supplier B.
The probability is ?
(Round your answer to three decimal places, if necessary.)

Answers

Answer:

The probability that the damaged thing came from B is .04/,19 = .2105 or 21.05% of the damaged goods come from company B.

Step-by-step explanation:

a group of 15 people are ordering pizza each person wants 2 slices and each pizza has 15 sides how many pizzas should they order.

Answers

Answer:

The total number of pizzas they will order is 2

Step-by-step explanation:

[tex]15*2=30[/tex]

30 slices total, so they need 2 pizzas for each person to get 2 slices of pizza.


Yes or no help now asapppp

Answers

The ordered pair (0,1) is not a solution to the inequality, as the line is dashed, meaning that points exactly on the line are not solutions to the inequality.

How to interpret the solution to the inequality?

The general format of an ordered pair is given as follows:

(x,y).

For the ordered pair (0,1), we have that the coordinates are given as follows:

x-coordinate of 0.y-coordinate of 1.

Hence the point is exactly at y = 1 on the y-axis, where the line crosses the y-axis. However, the line is dashed, meaning that it is not part of the solution.

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What is antiderivative of ln x?

Answers

The antiderivative of ln x is (1/2)(ln x)^2 + C, where C is any constant. The natural logarithm function ln x is defined only for positive x, so the antiderivative is also defined only for positive x.

The antiderivative (also called the indefinite integral) of ln x is a function that, when differentiated, gives ln x. The symbol for the antiderivative is ∫ln x dx.

To find the antiderivative of ln x, we can use integration by substitution. We start by rewriting ln x as 1 times ln x, and then we use the substitution u = ln x. This means that du/dx = 1/x, or dx = x du.

Substituting these expressions into the integral gives:

∫ln x dx = ∫1 ln x dx = ∫u du

Now we can integrate u with respect to itself:

∫u du = (1/2)u^2 + C

Substituting back u = ln x, we get:

∫ln x dx = (1/2)(ln x)^2 + C

where C is the constant of integration.

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Question 3 Benda is taking about buying a house for $249.000 The table below shows the projected value of two different houses for three years Number of years 1 2 3 House 1 (value in dollars) 253.960 259 059 60 264 240 79 House 2 (value in dollars) 256 000 263.000 270.000 Part A: What type of function Inear or exponential can be used to describe the value of each of the houses after a fixed number of years? Explain your (2) Part B: Wibe one function for each house to describe the value of the house fix) in dollars, after x years (4 points) Part C: Belinda wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in t
please I need help I will give alot of points ​

Answers

Answer:

Part A:

To determine whether a linear or exponential function can be used to describe the value of each house after a fixed number of years, we need to examine the change in the value of the houses over time. If the change is constant, a linear function can be used. If the change is proportional to the current value, an exponential function can be used.

Looking at the data in the table, we can see that the value of House 1 is increasing by a relatively constant amount each year, whereas the value of House 2 is increasing by a proportional amount. Therefore, a linear function can be used to describe the value of House 1, and an exponential function can be used to describe the value of House 2.

Part B:

For House 1, we can use the formula y = mx + b, where y is the value of the house in dollars, x is the number of years, m is the slope or rate of increase, and b is the initial value. Using the data from the table, we can find the slope and initial value:

m = (264240.79 - 253960) / 2 = 5140.395

b = 253960

So the function to describe the value of House 1 after x years is:

y = 5140.395x + 253960

For House 2, we can use the formula y = ab^x, where y is the value of the house in dollars, x is the number of years, a is the initial value, and b is the growth factor. Using the data from the table, we can find the initial value and growth factor:

a = 256000

b = (270000 / 256000)^(1/3) = 1.02905

So the function to describe the value of House 2 after x years is:

y = 256000(1.02905)^x

Part C:

To determine which house will have the greatest value in 45 years, we can plug in x = 45 into the functions we found in Part B and compare the results. Using a calculator, we get:

House 1: y = 5140.395(45) + 253960 = 472 339.25

House 2: y = 256000(1.02905)^45 = 798 825.85

Therefore, House 2 will have a significantly higher value after 45 years.

Step-by-step explanation:

2. A certain TV can be purchased from the manufacturer for $220. A certain online retailer has a standard markup of 25%, and a certain superstore has a standard markup of 45%.
(a) What is the price of the TV when purchased online? What is the price of the TV when purchased at the superstore?
(b) What is the difference between the prices in Part (a)? How does this relate to the difference in the markup?

Answer:

Answers

(1) As a result, the Monitor costs $275 to buy online. (2) There is a 20% price disparity between the two retailers.

What is a good illustration of purchased?

10,000 pairs of shoes are ordered by Shoes Unlimited from an overseas vendor. This entails the business issuing a purchase requisition, which serves as a formal promise to buy the specified kind and number of shoes.

(a) To find the price of the TV when purchased online, we can add 25% markup to the manufacturer's price of $220:

Price online = $220 + (0.25 * $220)

Price online = $220 + $55

Price online = $275

So the price of the TV when purchased online is $275.

To find the price of the TV when purchased at the superstore, we can add 45% markup to the manufacturer's price of $220:

Price at superstore = $220 + (0.45 * $220)

Price at superstore = $220 + $99

Price at superstore = $319

So the price of the TV when purchased at the superstore is $319.

(b) The difference between the prices in part (a) is:

Price at superstore - Price online = $319 - $275 = $44

The difference in markup between the two stores is:

Markup at superstore - Markup online = 45% - 25% = 20%

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How Many Cups In A Pounds ?

Answers

Answer:

There are 1.91 cups in a pound

Can someone please help me with this question?
A semicircle has radius 5.6cm. Work out the perimeter of the semicircle.​

Answers

Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

Find a value of the standard normal random variable z, call it z0, such that the following probabilities are satisfied.
A. P(z≤z0)=0.6997
• z0=_____
B. P(−z0≤z≤z0)=0.8026
• z0=_____
C. P(−z0≤z≤0)=0.4702
• z0=_____
D. P(−1 • z0=_____

Answers

To find the values of the standard normal random variable z for the given probabilities, we can use a standard normal distribution table or calculator. A. P(z≤z0)=0.6997, z0=0.52. B. P(−z0≤z≤z0)=0.8026, z0=1.29. C. P(−z0≤z≤0)=0.4702, z0=-0.63. D. P(−1<z<z0)=0.159, z0=0.49

A. P(z≤z0)=0.6997

To find the value of z0 such that P(z≤z0) = 0.6997, we can use a standard normal distribution table or calculator. Looking up the value, we get z0 ≈ 0.52.

B. P(−z0≤z≤z0)=0.8026

To find the value of z0 such that P(−z0≤z≤z0) = 0.8026, we can use the symmetry property of the standard normal distribution. Since the probability is split equally on both sides of the mean, we can find the z-score that corresponds to a probability of (1-0.8026)/2 = 0.0987 on the left tail. Looking up this value, we get z ≈ -1.29. Therefore, z0 ≈ 1.29.

C. P(−z0≤z≤0)=0.4702

To find the value of z0 such that P(−z0≤z≤0) = 0.4702, we can use the symmetry property again. Since the probability is split equally on both sides of the mean, we can find the z-score that corresponds to a probability of (1-0.4702)/2 = 0.2649 on the right tail. Looking up this value, we get z ≈ 0.63. Therefore, z0 ≈ -0.63.

D. P(−1<z<z0)=0.159

To find the value of z0 such that P(−1<z<z0) = 0.159, we can subtract the probability of the left tail (P(z<-1)) from the total probability (0.159 + P(z<-1) = 1). Looking up the value of P(z<-1) in a standard normal distribution table, we get 0.1587. Therefore, the probability of the right tail (P(z<z0)) is 1 - 0.159 - 0.1587 = 0.6823. Looking up the z-score that corresponds to this probability, we get z0 ≈ 0.49.

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The GDP deflator formula can be used in a variety of ways. Use it to answer the questions that follow. Round final answers to two decimal places, as needed

Answers

The nominal GDP in 2012 is $3,450.00.

The GDP deflator is a price index that measures the average price level of goods and services produced in an economy. It is calculated as the ratio of nominal GDP to real GDP, multiplied by 100.

Nominal GDP (Gross Domestic Product) is a measure of the total value of all goods and services produced within a country's borders during a given period of time, usually a year, using current market prices

To use the GDP deflator formula to answer the question, we need to rearrange the formula and solve for nominal GDP:

Nominal GDP = Real GDP × (GDP deflator / 100)

Plugging in the given values, we get:

Nominal GDP = $2,300.00 × (150.00 / 100) = $3,450.00

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The given question is incomplete, the complete question is:

: The GDP deflator formula can be used in a variety of ways. Use it to answer the questions that follow. Round final answers to two decimal places, as needed. Real GDP $2300.00 GDP deflator 150.00 .what is the nominal GDP in 2012 ?

What is 70 degree C into F?

Answers

After converting from Celsius to Fahrenheit 70 degrees Celsius is equivalent to 158 degrees Fahrenheit.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

In this case, to convert 70 degrees Celsius to Fahrenheit, we can substitute 70 for °C in the formula:

°F = (70 x 9/5) + 32

Simplifying this expression, we can first perform the multiplication and division:

°F = (126) + 32

Then we can add 126 and 32 to get the final answer:

°F = 158

It's worth noting that the Celsius and Fahrenheit scales are both used to measure temperature, but they have different starting points and different degrees of scale. Celsius is based on the freezing and boiling points of water, where 0 degrees Celsius is the freezing point and 100 degrees Celsius is the boiling point at sea level.

Fahrenheit, on the other hand, is based on a system of degrees devised by Gabriel Fahrenheit, with 32 degrees being the freezing point and 212 degrees being the boiling point at sea level.

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what is 103 as a decimal?

Answers

103 in decimal terms can be denoted by simply dividing the term by 100 so the value will be given as 1.03.

The division method can be used to convert 103/100 to a decimal. Here is a brief recap on fractions before we go to the method: A fraction is a representation of a number that has been divided into two parts: the numerator, which is the number at the top, and the denominator, which is the number at the bottom. Divide the numerator (103 in this case) by the denominator (100 in this case) to produce a decimal using the division method:

100 (denominator) minus 103 (numerator) equals 1.03.

So there you have it! When you convert 103/100 to a decimal, the result is 1.03.

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PLS SOLVE THIS ASAPP ILL GIVE BRAINLY

Answers

Answer:

a

Step-by-step explanation:

Answer:

1. 24, use similar triangles

2. A , C , D

Step-by-step explanation:

A kite flying in the air has an 86-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 53°. Find the height of the kite.
Round your answer to the nearest tenth.

Answers

Answer:

≈ 106.5 feet

Step-by-step explanation:

Let's start by drawing a picture of the situation. Imagine a kite flying in the air, with a string attached to it that is pulled taut (pulled tight so there's no slack). The string is 86 feet long. We want to know how high the kite is in the air, and we know that the angle of elevation of the kite is 53 degrees.

Now, the angle of elevation is the angle between the horizontal (the ground) and the line of sight from the observer (you) to the object (the kite). In this case, you are looking up at the kite, so the line of sight is the string that connects the kite to the ground.

To find the height of the kite, we need to use trigonometry. Specifically, we'll use the tangent function, which relates the opposite side of a right triangle (in this case, the height of the kite) to the adjacent side (in this case, the length of the string) and the angle of elevation.The formula for the tangent function is:

tan(theta) = opposite/adjacent

Where theta is the angle of elevation, opposite is the height of the kite, and adjacent is the length of the string.

We know that the angle of elevation is 53 degrees, and the length of the string is 86 feet. So we can plug those values into the formula and solve for the height of the kite:

tan(53) = opposite/86

opposite = 86 * tan(53)

         ≈ 106.5

So the height of the kite is approximately 106.5 feet.

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