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?

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Question 192235: 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 Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
opposite over ajacent problem so we will deal with tangent
:
tan 15=200/x........where x is the distance from the boat to the base of cliff
:
0.26794919243112 x=200
:
x=746 ft (the nearest foot)