A street lamp rises vertically from a patch of level ground
A street lamp rises vertically from a patch of level ground. When a five-foot tall woman stands eight feet from the base of the lamp, she casts a ten-foot shadow. The angle of depression between the top of the lamp and the tip of her shadow has degree measure.
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Solution
tan theta = woman\'s height/ height of her shadow
tan theta=5/10
theta=tan-1(1/2)
theta= 26.65 degree
hence the angle of depression between the top of lamp and tip of her shadow is 26.6 degree
