A small plane is flying directly west with an airspeed of 30.0 m/s. The plane flies into a region where

the wind is blowing at 10.0 m/s at an angle of 30° to the south of west. In that region, the pilot changes

the directional heading to maintain her due west heading. (a) What is the change she makes in the

directional heading to compensate for the wind? (b) After the heading change, what is the ground

speed of the airplane?