Question

60 foot zip line from a tree to the ground forms a 45° angle of evolution from the ground how high above the ground is the top of the zip line round your answer to the nearest 10th of a foot

Answer 1

The height of the zip line is 42.4 feet

Explanation:

Given

`\theta = 45^o` --- angle of elevation

`l = 60` --- length of zip line

Required

The height of the zip line (h)

This question is an illustration of right-angled triangle.

Where:

`\sin(\theta) = (h)/(l)`

Make h the subject

`h = l * \sin(\theta)`

`h = 60 * \sin(45)`

`h = 60 * 0.7071`

`h = 42.4`