Geometry

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A stunt airplane travels at N 62 E at a constant speed of 400 mi/hr. There is a 20 mi/hr wind blowing doe west. What is the planes actual speed?

  • Geometry -

    Vp = 400mi/h @ 28 Deg.,CCW.
    Vw = 20mi/h @ 180 Deg.,CCW.

    X = 400*cos28 + 20*cos180 = 333.2 mi/h.
    Y = 400*sin28 + 20*sin180 = 187.8mi/h.

    V=sqrt((333.2)^2 + (187.8)^2)=382.5 mi/h = Actual speed of plane.

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