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?

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

Answer:

22.77°

Step-by-step 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°

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