An airplane is traveling at 117 mph relative to the air 13, Ask an Expert

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An airplane is traveling at 117 mph (relative to the air), 13 degrees E of N, at an altitude of 5000 ft. It encounters a cross-wind, blowing 16 m/s (relative to the earth) @ 39 degrees S of W. At what velocity must the plane fly (relative to earth) to maintain her original heading? At what angle and which direction?

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