A small plane is flying directly west with an airspeed of 34.0 m/s. The plane flies into a region where the wind is blowing at 11.0 m/s at an angle of 33° 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?
__?___ ° north of west
(b) After the heading change, what is the ground speed of the airplane?
__?__ m/s