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

Answer:

The height of the zip line is 42.4 feet

Step-by-step 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:

$\sin(\theta) = \frac{h}{l}$

Make h the subject

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

$h = 60 * \sin(45)$

$h = 60 * 0.7071$

$h = 42.4$