A zip-line at a water park runs from the top of a wall, down to the ground on the other side of a pool. The top of the zip cord is 45 ft above the ground and the zip-line is 500 ft long. What is the horizontal distance between the wall and the end of the zip-line? Round your answer to the nearest foot.

Answers

Answer 1

Answer:

498 ft

Step-by-step explanation:

The zip-line, wall and end of the zip-line to wall form a right-angled triangle.

Since the zip-line which is 500 ft long represents the hypotenuse side, the top of the zip cord to the ground represents one side of the triangle which is 45 ft long and the third side is represented by the horizontal distance between the wall and the zip-line.

By Pythagoras' theorem,

L² = h² + d² where L = length of zip-line = 500 ft, h = height of top of zip cord from ground = 45 ft and d = horizontal distance between the wall and the zip-line.

So, d² = L² - h²

d² = (500 ft)² - (45 ft)²

d² = 250,000 ft² - 2025 ft²

d² = 247,975 ft²

d = √247,975 ft²

d = 497.97 ft

d ≅ 498 ft

Answer 2

The horizontal distance between the wall and the end of the zip-line is:498 ft.

Horizontal distance

Using Pythagoras theorem formula

d= √L² + h²

Let plug in the formula

d=√500 ft² - 45 ft²

d=√ 250,000 ft² - 2025 ft²

d = √247,975 ft²

d = 497.97 ft

d= 498 ft (Approximately)

Inconclusion the horizontal distance between the wall and the end of the zip-line is:498 ft.

Learn more about horizontal distance here:https://brainly.com/question/24784992


Related Questions

If there's a rigid motion that maps ΔJLK
Δ
JLK
onto ΔABC
Δ
ABC
then the two triangles are congruent. Are the triangles congruent? If so, by which rigid motion is ΔJLK
Δ
JLK
mapped onto ΔABC
Δ
ABC
?



Question 5 options:

Yes, the triangles are congruent becauseΔJLK
Δ
JLK
is mapped ontoΔABC
Δ
ABC
through a translation.


No, the triangles are not congruent because ΔJLK
JLK
is mapped onto ΔABC
ABC
through a reflection.


Yes, the triangles are congruent because ΔJLK
Δ
JLK
is mapped onto ΔABC
Δ
ABC
through a rotation.


Yes, the triangles are congruent becauseΔJLK
Δ
JLK
is mapped onto ΔABC
Δ
ABC
through a reflection.

Answers

Answer:

The answer is A.

Step-by-step explanation:

JLK is translated to the left by 2 units

Solve linear equations

Solve for x

3х – 10 = 16

Answers

Answer:

x=26/3

Step-by-step explanation:

3x-10=16

add 10 to both sides

3x=16+10

simplify

3x=26

divide both sides by 3

x=26/3

PLEASE HURRY, ILL MARK YOU BRAINLEST!! Select the correct answer.
David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has
dimes. Gino only has nickels, and he has 20 more nickels than David.
What is the value of David's coins?
ОА.
$1.90
ОВ.
$1.50
OC. $1.45
OD.
$0.55

Answers

Answer:

A

Step-by-step explanation:

If you want more of an explanation, just ask

what is 7x+3(8x-7) I need it in standard form

Answers

Answer:

31x-21

Step-by-step explanation:

Distribute:7x+24x-21

Add like terms:31x-21

Answer:31x-21

the answer is 31x-21

9.476, 9.427, 9.43, 9.347, 9.4, 9.38

HELP ASAP


LESSER GREATER

Answers

Answer:

B. 9.427, D. 9.347, F. 9.38, E. 9.4, C. 9.43, A. 9.476,

Step-by-step explanation:

What system of equations is shown on the graph?

Answers

Blue: y = 1/2x - 2
Orange: y = -2x - 4

Answer:
B) x - 2y = 4 and 2x + y = -4

I’ll mark you brainlist! :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

D)  f(x)=4x-3

Step-by-step explanation:

ok so use slopeintercept form

why=mx+b

just joking its

y=mx+b

m=slope

b=y-intercept

x=number

so knowing this

lets find the slope

slope=rise/run

so if you see the y changes every 4 on each x

when x is 1 y is 1 and when x is 2 the y adds 4 and y is 5

so slope is 4

knowing the slope

y-intercept is where (0,y)

x=0

subtract 4 from 1 because 1 is the x

3

f(x)=4x-3

On a park ma, the ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4). Each unit in the map is equal to 0.5 mile. What is the approximate distance between the ranger station and the nature center?

Answers

Answer: [tex]1.0308\text{ miles}[/tex]

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4) .

Distance between ranger station and nature center

[tex]\sqrt{(2.5-0.5)^2+(3.5-4)^2}=\sqrt{2^2+(-0.5)^2}\\\\=\sqrt{4+0.25}\\\\=\sqrt{4.25}\\\\=2.0616\text{ units}[/tex]

Each unit in the map is equal to 0.5 mile.

Hence, Distance between ranger station and nature center  = [tex]2.0616\times0.5=1.0308\text{ miles}[/tex]

where dose (3.5,1.75) go on a coordinate plane?

Answers

Answer: where is the picture

Step-by-step explanation:

if x = -3, what is the value of y? 6x + 3y = –12?

Answers

Answer:

y = 4

Step-by-step explanation:

6(-3) + 3y = -12

-24 + 3y = -12

+24          +24

3y = 12

/3    /3

y = 4

Winter Wonderland buys items at wholesale, then marks them up to set a retail price. They buy snow globes for $9.20 and mark them up by 95%. What is the retail price or selling price of the snow globes?

Answers

Answer:

$17.94

Step-by-step explanation:

Step one:

given

the cost price of snow globes = $9.20

mark up percent= 95%

Required:

the retail selling price

Step two:

let us find 95% of $9.20

=95/100*9.20

=0.95*9.20

=$8.74

Hence the retail selling price is = 9.20+8.74

=$17.94

Three friends at a video arcade win a total of 248 tickets. They decide to share the tickets equally. About how many tickets will each friend receive? Solve this problem using any strategy you choose

Answers

Answer:

82.67 tickets

Step-by-step explanation:

Since the tickets are shared equally, the number of tickets each friend would receive is given as: x

The total number of tickets = 248 tickets

Hence:

248 = 3 × x

3x = 248

x = 248/3

x = 82.666666667 tickets

x ≈ 82.67 tickets

Hence, each friend would receive about 82.67 tickets


An airplane covers 94 miles in 6 of an hour.
The plane can cover
miles in 6 hours.

Answers

Answer:

in 6 hours it will be 3384

Answer:

654

Step-by-step explanation:

Hope this is right:)

Eric bought a card for$2.99 the sales tax was 8% what was his total cost?

Answers

Answer:

3.53

Step-by-step explanation:

Simplify: 3(r + 12r2) – 2(r + 8)

Answers

36r2+r-16 is the answer, btw the 2 besides the r in 36 is an exponent

PLZZZZZZZZZZZZ HELP ME WITH THIS I WILL MARK YOU

Answers

Answer:

First question:y=-1/2x+3

Second question: y=1x

what did Tyler do wrong pls help me

Answers

Answer:

he did nothing wrong

Step-by-step explanation:

Find slope.
х
у
-7
-1
0
-5
-1
4
3

Answers

Answer:

0.75

Step-by-step explanation:

a bag contains 1 blue 2 greens three yellows and three red marbles are shown which probability of drawing a red marble out of the bag without looking​

Answers

I would say around 33%. Hopefully that’s correct!!

Answer: 33% or 3/9 probability of getting a red marble

Step-by-step explanation:

In total there are 9 marbles

1+2+3+3=9

3 of those are red marbles so it's 3/9

What percentage of a 15-ft tree is a little 3-ft sapling?

Answers

20% is the 3-ft sapling

Answer:

20%

Step-by-step explanation:

What is the value of​ n?
4.8×108=3×1051.6×10n

Answers

Answer:

n = 0.0164321

Answer:

1051.6×10n

Step-by-step explanation:

A discount movie pass cost 10.99. With the pass,movie tickets cost 4.25 dollars each. Feen spent a total of 61.99 dollars on the pass and the movie tickets. write an equation to determine how many movie fren watched

Answers

The equation would be (61.99-10.99)/4.25= x
You subtract the price of the pass from the total (61.99-10.99) then you’d divide that by 4.25 to see how many movies she watched
61.99-10.99= 51... 51/4.25= 12 she watched a total of 12 movies

Write the equation of the line fully simplified slope intercept form.

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Find k so that when x³+2kx² +3x-6 is divided by x+3 the remainder is 12.

Answers

Answer:

k = 3

Step-by-step explanation:

By the Remainder theorem if f(x) is divided by (x + h) , then the remainder is f(- h), thus

f(- 3) = (- 3)³ + 2k(- 3)² + 3(- 3) - 6 = 12 , then

- 27 + 18k - 9 - 6 = 12

18k - 42 = 12 ( add 42 to both sides )

18k = 54 ( divide both sides by 18 )

k = 3

i need help on this asap

Answers

Answer:

Option 4

Step-by-step explanation:

:)

Answer:

Option 4

Step-by-step explanation:

The square root of a number and 8 is 17. What is the number?

Answers

Answer is 81

17-8= 9

9 squared is 81

Equation is sqrt81 + 8 = 17

I need help ASAP
Does this show a function please explain

Answers

Answer:

where is the dot, I Bileve it is no.

NEED HELP ASAP!!!!!!!!!

Answers

ANSWER

16

Explanation: all angles are 60 which is an Equilateral triangle meaning all three sides of the triangle are equal.

which is the solution of the equation y=4x+3

Answers

Answer:

It is not possible to solve the equation y = 4x + 3. This is merely a relation between two variables x and y. The variable y is 3 greater than 4 times the variable x.

Step-by-step explanation:

What book?

I have no clue hahahaha

I will give brainleist! Please help on all it’s my homework i don’t know how to do

Answers

Answer:

17) 3   18) 3

Step-by-step explanation:

Answer:

17. C

18. C

Step-by-step explanation:

The greater the negative number, the less the number values. -10 is smaller than -8 because -10 is farther away from the number line to the left.

Go in terms of the tenths place. If its smaller than the number will be less than the bigger numbers. 0.227 is bigger than 0.18 because it has a 2 in the tenths place.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

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