Question

13. A ski lift forms a right triangle, as shown. Use the Pythagorean Theorem

Answer 1

This is an incomplete question, the image is shown below.

Answer : The horizontal distance traveled by a person is, 5630 ft

Step-by-step explanation :

To calculate the horizontal distance traveled by a person  we are using Pythagoras theorem.

Using Pythagoras theorem:

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

Given:

Hypotenuse = 5750 ft

Perpendicular = 1170 ft

Now put all the values in the above expression, we get the value of base.

$(5750)^2=(1170)^2+(Base)^2$

$Base=\sqrt{(5750)^2-(1170)^2}$

$Base=\sqrt{33062500-1368900}$

$Base=\sqrt{31693600}$

$Base=5629.706ft\approx 5630ft$

Therefore, the horizontal distance traveled by a person is, 5630 ft