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An airplane with a ground speed of 750 mph and a bearing of N 40 E encounters a wind of 50 mph with a bearing of S 30 E. Find the bearing and ground speed of the plane.

  • trig/precalc -

    actually, that's heading, not bearing.

    Adding up the x- and y-components of the two speeds, you get (507.1,531.2)

    so, the speed is 734.4 mph at N43.7°E

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