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A plane flying horizontally at an altitude of 3 mi and a speed of 480 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 6 mi away from the station. (Round to the nearest whole number.)

  • Cal -

    Use Pythagoras theorem.
    x=horizontal distance from station
    L(x)=oblique distance from station
    L(x)=√(480²+x²)
    dx/dt = horizontal speed = 480 mph
    Find dL(x)/dx by differentiation.
    Then
    dL(x)/dt
    = dL(x)/dx * dx/dt

  • Cal -

    that makes no sense

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