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Two buildings are 200 feet apart. the height of the taller building is 50 ft. the angle of depression from the top of the taller building to the top of the shorter building is 8°. what equation below will correctly determine the height (h) of the shorter building?

Respuesta :

CastleRook
The height of the taller building is 50ft, the height of the shorter building is h. The difference in heights will be:
(50-h) ft
tan x=opposite/adjacent
thus
tan 8=(50-h)/200
200*tan 8=50-h
28.11=50-h
h=50-28.11
h=21.89
the height of the shorter building is h=21.89 ft

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