SOLUTION: An airplane flying at an altitude of 32000 feet is headed toward an airport. To guide the airplane to a safe? landing, the airport landing system sends radar signals from the runw

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Question 582651: An airplane flying at an altitude of 32000 feet is headed toward an airport. To guide the airplane to a safe?
landing, the airport landing system sends radar signals from the runway at a 10 degree angle above the runway. Measured along the ground, how far is the airplane from the airport runway to the nearest foot?
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane flying at an altitude of 32000 feet is headed toward an airport. To guide the airplane to a safe?
landing, the airport landing system sends radar signals from the runway at a 10 degree angle above the runway. Measured along the ground, how far is the airplane from the airport runway to the nearest foot?
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Draw the picture.
You have a right triangle with a 10 degree angle at the ground
and a 32000 ft side opposite the 10 degree angle.
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Solve for the base.
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tan(10) = 32000/base
base = 32000/tan(10) = 181481.0182 ft.
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Cheers,
Stan H.
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