A man 5 ft 5 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 26 ft long. The angle of depression from the top of the man to the tip of his shadow is 31°. If the man is 25 ft down the sidewalk from the street lamp, find the height of the light above the sidewalk. (Round your answer to two decimal places.)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
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A man 5 ft 5 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 26 ft long. The angle of depression from the top of the man to the tip of his shadow is 31°. If the man is 25 ft down the sidewalk from the street lamp, find the height of the light above the sidewalk. (Round your answer to two decimal places.)

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