Post a New Question

calculas

posted by .

A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 25 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later?
The distance is increasing at

  • calculas -

    The plane's x- and y- speed is

    dx/dt = 19 cos 25°
    dy/dt = 19 sin 25°

    At time t, the distance z is

    z^2 = x^2 + (y+4)^2
    so,
    2z dz/dt 2x dx/dt + 2(y+4) dy/dt.

    Now just figure x,y,z at t=3, and plug in the values.

Answer This Question

First Name
School Subject
Your Answer

Related Questions

More Related Questions

Post a New Question