SOLUTION: Hello. I am stuck on the following problem: Amy Pilot observes the angle of depression of a point on a landing field to be 28 degrees and the plane's altitude is 1370 meters. Wh

Question 218492: Hello. I am stuck on the following problem:
Amy Pilot observes the angle of depression of a point on a landing field to be 28 degrees and the plane's altitude is 1370 meters. What is the distance from Amy to the observed point on the landing field? My T84 seems to be stuck

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Amy Pilot observes the angle of depression of a point on a landing field to be 28 degrees and the plane's altitude is 1370 meters. What is the distance from Amy to the observed point on the landing field?
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Draw the picture.
You have a right triangle with height = 1370 m.
The triangle angle at the plane is 62 degrees.
The distance you want is the hypotenuse of the triangle.
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Equation:
cos(62) = 1370/x
hypotenuse = x = 1370/cos(72) = 4433.41 meters
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Cheers,
Stan H.
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