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.
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