Question

A navigator on a plane knows that the plane's velocity through the air is 250 km/h on a bearing of 237˚ measured clockwise from north. By observing the motion of the plane's shadow across the ground, she finds to her surprise that the plane's ground speed is only 52 km/h, and its direction is along a bearing of 15˚. She realizes that ground velocity is the vector sum of the plane's air velocity and the wind's velocity. What wind velocity would account for the observed ground velocity?

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