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Physics

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An airplane has an airspeed of 770 kilometers per hour at a bearing of N 48 degrees E. If the wind velocity is 28 kilometers per hour from the west, find the angle representing the bearing for
the ground speed?

I found Rx and Ry which are 543.23 and 572.22 respectively. To find the angle I took tan^-1 of 572.22/543.23 and got 46. 489 for the angle, but the answer is wrong. R=789 and I got that right so I don't understand why the angle is incorrect.

  • Physics -

    Vp + 28[0o] = 770[90-48] = 770[42o]CCW
    Vp + 28 = 770*cos42 + i770*sin42
    Vp + 28 = 572.2 + 515.2i
    Vp = 544.2 + 515.2i = 749mi/h[43.6o] CCW
    = 749mi/h[46.4o] E of N.

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