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.

None

A.

\"A

B.

\"a

C.

\"a

D.

\"E

E.

\"a

F.

None

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

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 shado

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