a pilot flying at In altitude of 1800 m spots in airplane in the distance he notices that the angle of the depression from the plane to the airport is 22° how far is the plane from the airport in altitude of 1800 m spots an airplane in the distance he notices that the angle of the depression from the plane to the airport is 22° how far is the plane from the airport

Question

Helena Mcgrath

Mathematics

27 October, 00:55

a pilot flying at In altitude of 1800 m spots in airplane in the distance he notices that the angle of the depression from the plane to the airport is 22° how far is the plane from the airport in altitude of 1800 m spots an airplane in the distance he notices that the angle of the depression from the plane to the airport is 22° how far is the plane from the airport

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Answers (1)

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Isabell Benjamin · Answer 1

Let x be the distance between the plane and the airport.

We have,

Angle of depression = 22°

Altitude = 1800 m

Sin 22° = Opposite/Hypotenuse

=> Sin 22° = Altitude/x

=> Sin 22° = 1800/x

=> x * Sin 22° = 1800

=> x = 1800/Sin 22°

=> x = 1800/0.3746065934

=> x = 4805.04089 m