A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station. Round your answer to the nearest whole number.

Question

Physics

Mona

10 July, 00:43

A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station. Round your answer to the nearest whole number.

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Answers (1)

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Valery Wolf · Answer 1

the tangent function of 2mi/5mi = 21.8 degrees

cosine of that angle = cos (21.8 degrees)

=0.928

multiply 0.928 with 570 = 570*0.928

Closing velocity = 529.23 mph

As the plane gets closer to radar station, tangent function becomes infinity and the cosine function becomes zero ...

0*570 = 0