Question

A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree.

Answer 1

60.1°

Explanation:

We solve the above question using the Trigonometric function of Sine

sin x = Opposite/Hypotenuse

x = Angle of Depression

Opposite = 15ft

Hypotenuse = 17.3ft

sin x = 15ft/17.3ft

x = arc sin (15ft/17.3ft)

x = arcsin(0.8670520231213873)

60.117851927°

Approximately Angle of depression = 60.1°