Question

A 172 ft. Building casts a 444 ft. Shadow from the sun. To the nearest tenth of a degree, what is the angle of depression?

Answer 1

22.77°

Explanation:

Using SOH CAH TOA trigonometry identity

Height of the building (opposite side) = 172ft

Length of the shadow (hypotenuse) = 444ft

Using SOH

sin theta = opp/hyp

Sin theta = 172/444

Sin theta = 0.387

theta = arcsin0.387

theta = 22.77°

Hence the angle of depression is 22.77°