SOLUTION: a boat is 1000 meters from a cliff. if the angle of depression from the top to the boat is 15 degree, how tall is the cliff? round your answer to the nearest tenth.

Question 462669: a boat is 1000 meters from a cliff. if the angle of depression from the top to the boat is 15 degree, how tall is the cliff? round your answer to the nearest tenth.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a boat is 1000 meters from a cliff. if the angle of depression from the top to the boat is 15 degree, how tall is the cliff? round your answer to the nearest tenth.
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Angle of depression from the hill equals the
angle of elevation from the boat.
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Draw the picture:
right triangle with bse = 1000 meters and elemation angle = 15 degrees
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Let the height of the cliff be "h"
Solve: tangent(15) = h/1000
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h = 1000*tan(15) = 267.95 meters
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Cheers,
Stan H.
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