A woman standing on a cliff at the edge of the ocean spots a raft. Her eye level is 18 meters above sea level and the angle of depression is 7 degrees. To the nearest thousandths of a meter find the distance from the raft to the base of the cliff.

Question

Mathematics

Broderick Curry

24 December, 00:49

A woman standing on a cliff at the edge of the ocean spots a raft. Her eye level is 18 meters above sea level and the angle of depression is 7 degrees. To the nearest thousandths of a meter find the distance from the raft to the base of the cliff.

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Answers (1)

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Arnav Hopkins · Answer 1

In a right triangle, the ratio of opposite to adjacent side is the tangent of the angle.

... tan (7°) = (18 m) / (distance to raft)

... (distance to raft) = (18 m) / tan (7°) ≈ 146.598 m