SOLUTION: A person in a balloon which is 1200 feet above the airport finds that the angle of depression to a ship at sea is 58 degrees. Find the horizontal distance between the balloon and t

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Question 1104325: A person in a balloon which is 1200 feet above the airport finds that the angle of depression to a ship at sea is 58 degrees. Find the horizontal distance between the balloon and the ship.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A person in a balloon which is 1200 feet above the airport finds that the angle of depression to a ship at sea is 58 degrees. Find the horizontal distance between the balloon and the ship.
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Sketch the picture.
You have a right triangle with height = 1200 ft
The angle opposite the height is 58 degrees.
Find the base.
tan(58) = 1200/base
base = 1200/tan(58) = 749.84 ft
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Cheers,
Stan H.