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.
(a) If the pilot does not change the heading of the plane, what will be the ground speed of the airplane?
(b) What will be the new directional heading, relative to the ground, of the airplane?