SOLUTION: From the top of a 200-foot cliff, the angle of depression to a boat offshore is 15 degrees. To the nearest foot, how far is the boat from the base of the cliff?

Question 192271: From the top of a 200-foot cliff, the angle of depression to a boat offshore is 15 degrees. To the nearest foot, how far is the boat from the base of the cliff?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
From the top of a 200-foot cliff, the angle of depression to a boat offshore is 15 degrees. To the nearest foot, how far is the boat from the base of the cliff?
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Draw the picture.
The angle of elemvation (from the boat to the cliff) is the same as the
angle of depression (from the cliff to the boat).
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You have a right triangle with angle 15 degrees and the side opposite
is 200 ft.
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Equation:
tan(15) = 200/base
base = 200/tan(15)
base = 746.41 ft
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Cheers,
Stan H.
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