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

Question:

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?