SOLUTION: Find x, the angle of depression from the top of a lighthouse that is 152ft above water level to the waterline of a ship 868ft off shore. Round your answer to the nearest hundredt
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Question 449193: Find x, the angle of depression from the top of a lighthouse that is 152ft above water level to the waterline of a ship 868ft off shore. Round your answer to the nearest hundredth of a degree.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find x, the angle of depression from the top of a lighthouse that is 152ft above water level to the waterline of a ship 868ft off shore. Round your answer to the nearest hundredth of a degree.
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The angle of depression from the top of
the lighthouse is the same as the angle
of elevation from the ship off shore.
--------------------------
Draw the picture.
You have a right triangle with base = 868
and height = 152
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The angle of elevation from the ship is
tan^-1(152/868) = 9.93 degrees
====
So the angle of depression from the lighthouse
is 9.93 degrees.
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Cheers,
Stan H.
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