A small aircraft is headed due south with a speed of 51.9 m/s with respect to still air. Then, for 8.43 x 10² s, a wind blows the plane so that it moves in a direction 30.9° west of south, even though the plane continues to point due south. The plane travels 90.5 km with respect to the ground in this time. Determine the velocity ((a) speed and (b) direction) of the wind with respect to the ground. Give the directional angle relative to due south.
