A man 5 ft 9 in. tall stands on a sidewalk that slopes down at a constant angle. A vertical street lamp directly behind him causes his shadow to be 15 ft long. The angle of depression from the top of the man to the tip of his shadow is 31°. Find the angle that the sidewalk makes with the horizontal

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
Problem 4ECP: From the time a small airplane is 100 feet high and 1600 ground feet from its landing runway, the...
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A man 5 ft 9 in. tall stands on a sidewalk that slopes down at a constant angle. A vertical street lamp directly behind him causes his shadow to be 15 ft long. The angle of depression from the top of the man to the tip of his shadow is 31°. Find the angle that the sidewalk makes with the horizontal.

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