physics

The pilot of an airplane wishes to fly due north, but there is a 71 km/h wind blowing toward the east.
(a) In what direction should the pilot head her plane if its speed relative to the air is 314 km/h?
° west of north

Should the angle just be the opposite of the one created by the east wind? I'm not sure how to "undo" it

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  1. Vp + Vw = 314i
    Vp + 71 = 314i
    Vp = -71 + 314i

    Tan Ar = 314/-71 = -4.42254
    Ar = -77.26o = Reference angle.
    A = -77.26 + 180 = 102.74o CCW = 12.74o
    W. of N.

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