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March 27, 2017

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A plane is flying due south at a speed of 300 mph. The wind is blowing from the west at a speed of 40 mph. Find the resultant speed of the plane and the direction of the plane

  • Geometry/trig - ,

    V = 300 mi/h @ 270Deg + 40 mi/h @ 0Deg.

    X = 40 mi/h.
    Y = -300 mi/h.

    tanA = Y/X = -300 / 40 = -7.500.
    A = -82.4 Deg.,CW.
    A = -82.4 + 360 = 277.6 Deg, CCW.

    Vp = X/cosA = 40 / cos277.6 = 303 mi/h
    @ 277.6 Deg.

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