While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?

Answers

Answer 1

Answer:

157.6m

Step-by-step explanation:

Given

Horizontal distance = 181m

Length of the rope =240m

To know how high above Kayla was, we will use the Pythagoras theorem.

According to the theorem;

d² = x²+y²

x is the horizontal distance

y is the vertical distance

d is the length of the rope

Substitute

240² = 181²+y²

y² = 240²-181²

y² = 24839

y = √24839

y = 157.6m

Hence the boat is 157.6m above Kayla


Related Questions

solve it please fo 35 points

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Answer:

b

Step-by-step explanation:

Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+​

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Alright waittt trade picsss omgggg this is a school website I’m just playing with you

Should it matter if areas far from large cities lose population?

Answers

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.

Answers

Answer:

100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

100 x 1 = 10050 x 2 = 10025 x 4 = 10020 x 5 = 100 10 x 10 = 100

while there are only 2 pairs of whole numbers that multiplied together will be 15:

15 x 1 = 153 x 5 = 15

If a population consists of 540,000 people and a census is taken, how many
people are sampled?
A 5400
B. 540
C. 540,000
D. 54,000

Answers

The number of people who are sampled in the census is the whole population which is, 540,000.

Given that,

Size of the population = 540,000

We have to take a census regarding something which is not mentioned for this population.

In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.

So there can't be a sample which contains less number of individuals or units for taking the information.

So the whole population of 540,000 people are included in the sample.

Hence the correct option is C, which is 540,000.

To learn more about Census, click on the link given here :

https://brainly.com/question/9372289

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Which rational number is larger 5/4 or 1/4

Answers

Answer:

5/4

Step-by-step explanation:

Yeeeeeeeeeeeeeeeeeeeeeeee

Answer:

5/4

Step-by-step explanation:

Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12

Answers

The fitness gram pacer test is a multistage aerobics test

PLEASE HELP, IM NOT SURE!!!


The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles

Answers

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

SHCIUWU SIU SIJSJSH USIABSBNJSSJJAKJAH YUJJU

Can someone please help me?

Answers

Answer:

C

Step-by-step explanation:

4a+10=180

4a=170

a=42.5

42.5*2=85

Answer: C. 85.0 degrees

Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!

What is the equation of the line that passes through the points (-4, 2) and (12,6)?

Answers

Answer:

y=0.25x+3

Step-by-step explanation:

Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)

Answers

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = [tex]\frac{4}{3}[/tex]

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

   Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   [tex]\frac{4}{3}[/tex]  = [tex]\frac{-3 - x}{2 - 5}[/tex]

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7

I need help! PLEASE HELP!!​

Answers

Answer:

Step-by-step explanation:

P = pizza slices

S= soda drinks

98 = 23*P + 31*S

solve for x please ​

Answers

Answer: 53°

Step-by-step explanation: If two parallel lines are cut by

a transversal, then same-side interior angles are supplementary.

So if we know one of our angles measures 127,

our other angle will measure 180 - 127, which is 53.

So x is 53 degrees.

Remember, whenever you have two parallel lines cut by a transversal,

same-side interior <'s are supp. or the sum of their measures is 180 degrees.

i need some help with this question​

Answers

Answer:

(7w + 9x)(7w - 9x)

Step-by-step explanation:

 Given expression;

        49w²  - 81x²

Now to solve the problem;

         49w² - 81x² = 7²w² - 9²x²

                           

Using differences of two squares;

        x²  - y²   = (x + y)(x - y)

So;

7²w² - 9²x²  = (7w + 9x)(7w - 9x)

If y° and 150° form a linear pair , then y° ?​

Answers

Answer:

Y=30

Step-by-step explanation:

we know that Y+150=180 as it is a linear pair

so, Y= 108-150

which will be 30

Convert the number to scientific notations 89,970,303,001=

Answers

[tex]8.9970303001 \times 10^{10} [/tex]

If the measure of the third angle of the triangle is 45 ​° more than three time the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (Recall that the sum of the measures of the angles of a triangle is​ 180°.)

Answers

Answer:

The first and second angles are 27° and the third angle is 126°.

Step-by-step explanation:

We have that the third angle (β) is 45° more than three times the measure of either of the other two​ angles (θ):

[tex] \beta = 45 + 3\theta [/tex]     (1)

Also, the sum of the measures of the 3 angles is 180°:

[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex]   (2)

By entering equation (1) into equation (2) we have:

[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]  

[tex] 5\theta = 180 - 45 [/tex]

[tex] \theta = 27 [/tex]

Hence, the third angle is:

[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]                                  

Therefore, the first and second angles are 27° and the third angle is 126°.

I hope it helps you!

X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..

Answers

Answer:

I think is c

Step-by-step explanation:

Simplify the expression.
74÷(32)

A. −218
B. 218
C. 76
D. −76

Answers

Answer:

Simplify the expression.

Exact Form:

37

16

Decimal Form:

2.3125

Mixed Number Form:

2

5

16

what is the answer for -6-(-13)

Answers

Answer:

7

Step-by-step explanation:

Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer

Hope this helps!

When three points lie on the same line

Answers

When three points are on the same line it’s collinear,. we’re in the same class LOL

Which graph below has an x-intercept of (6, 0) and a y-intercept of (0, 4)

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All you have to do is plot the points on the graph and then draw a line for the points to meet each other.

Sara’s checking account is overdrawn with a balance of -$3.00. She deposits some money into her account so the new balance is $4.50.

Answers

Answer:

She put in $7.50

Step-by-step explanation:

7:50 ofc good luck with like and gave a nice question

A map’s scale is 1 inch: 3.5 miles. If the actual distance between two places is 77 miles, then they will be ____ inches away from each other on the map.

Answers

Answer:  22 inches

==================================

Work Shown:

(1 inch)/(3.5 miles) = (x inches)/(77 miles)

1/3.5 = x/77

1*77 = 3.5*x ..... cross multiply

77 = 3.5x

3.5x = 77

x = 77/3.5

x = 22

22 inches on paper correspond to 77 miles in real life.

22 inches. hope that helps

9% of 828 I will give Brainliest to the first to answer right

Answers

Answer:

74.52

Step-by-step explanation:

A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.

Answers

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Macie used 1/8 of a gram of honey to make 1/10 of a cake. How many grams of honey does it take to make one whole cake?

Answers

Answer:

10/8 or 5/4

Step-by-step explanation:

It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.

1/8 * 10 = 10/8

If you want we can simplify it.

5/4

And that's your answer!

True or false a function can sometimes be a relation ?

Answers

Answer:

Step-by-step explanation:

True

If using the vertical line test, you can tell whether something is a relation or not. If a vertical line crosses all points once it’s a function if it does not then it’s not a relation.

Which property was used to simplify the expression?

mc005-1
distributive property
commutative property
associative property
inverse property

Answers

Answer: C is your asnwer

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Integers on number lines

Answers

Integers can be represented on the number line. On a number line, the positive numbers are to the right of zero and the negative numbers are to the left of zero. An integer on the horizontal number line is greater than the number on its left and less than the number on its right.
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