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You are piloting a small plane, and you want to reach an airport 450 km due south in 2.0 hours. A wind is blowing from the west at 75 km/h.What heading and airspeed should you choose to reach your destination in time?

  • physics -

    Make an angle measured from S counterclockwise to heading (somewhere SE)

    the Easterly component has to be 75km/hr
    The resultant is S, and the heading is 450

    Then TanTheta= 75/desired resultantvelocity

    TanTheta= 75/(450/2)
    solve for Theta.

    Your airspeed should be
    SinTheta= 75/desiredairspeed
    solve for desired airspeed.

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