Question

Consider a ziprider having a zip line of length 5400 ft and it's vertical drop of 1,267 Ft fine is angle or depression.

When you answer this question please explain you got the answer . Thanks
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Answer 1

13.6°

Explanation:

You want to know the angle of depression that results in a 1267 ft drop for a zip line of length 5400 ft.

Sine

The sine relation tells you ...

Sin = Opposite/Hypotenuse

Application

In this problem, the geometry is that of a right triangle with hypotenuse 5400 feet and the angle of interest opposite a side of length 1267 ft. That means ...

sin(α) = 1267/5400

α = arcsin(1267/5400) ≈ 13.6°

The angle of depression is about 13.6°.