A plane flying horizontally at an altitude of 3 mi and a speed of 440 mi/h passes directly over a radar station. find the rate a

Question

2 years ago

9

A plane flying horizontally at an altitude of 3 mi and a speed of 440 mi/h passes directly over a radar station. find the rate a

t which the distance from the plane to the station is increasing when it is 4 mi away from the station. (round your answer to the nearest whole number.)

Mathematics

1 answer:

Licemer1 [7] · Answer 1 · 2022-05-17T23:06:57+03:00

Licemer1 [7]2 years ago

8 0

The distance is increasing at a rate that is the speed of the plane multiplied by the cosine of the angle between its flight path and the direct line to the radar station. That cosine is 4/√(3²+4²) = 4/5, so the distance is increasing at
440 mi/h × 4/5 = 352 mi/h