Wind is blowing toward south at 8m/s, a runner jogs west at 7 m/s. What is the velocity (speed and direction) of the air relative to the runner?

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  1. X = -7 m/s
    Y = -8 m/s

    tan Ar = -8/-7 = 1.14286
    Ar = 48.8o = Reference angle.
    A = 48.8 + 180 = 228.8o, CCW

    V = -8/sin228.8 = 10.63 m/s[228.8o].

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