The angle of depression from top of a building 200 meters tall to a point on the ground is 75 degrees how far is the point on the ground from the base of the building? Round your answer to the nearest tenth of a meter.

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Answer 1 · 2018-07-25T12:05:15

The point on the ground is # **53.6# meters from the base of
building .**

Let the point on the ground is #x# meters from the base of

building of #y=200# meter tall and angle of depression from

top of building to the point in ground is #theta= 75^0#.

#tan theta= y/x or tan 75= 200/x or x = 200/tan 75 ~~ 53.59# m.

The point on the ground is # 53.6# meters from the base of

building . [Ans]