Asked by toni
An Airplane is flying at an elevation of 6 miles on a flight path that will take it directly over a radar tracking station. If the distance between the plane and the station is decreasing at a rate of 400 mph when the plane is 8 miles away from being directly over the station, what is the speed of the plane?
Answers
Answered by
oobleck
when the plane is x miles away from overhead, we have the distance z is
z^2 = 6^2 + x^2
z dz/dt = x dx/dt
so at the given moment, z=10, so
10(-400) = 8 dx/dt
dx/dt = -500 mi/hr
z^2 = 6^2 + x^2
z dz/dt = x dx/dt
so at the given moment, z=10, so
10(-400) = 8 dx/dt
dx/dt = -500 mi/hr
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