A navigator on an airplane knows that the plane's velocity through the air is 250 kph on a bearing of 237 degrees 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 kph, and it's direction is along a bearing of 15 degrees. She realizes that ground velocity is the vector sum of the plane's air velocity and the velocity of the wind. What wind velocity would account for the observed ground velocity?
