Solve the all parts of given question:
Question: You are on an airplane traveling 30° south of due west at 180 m/s with respect to the air. The air is moving with a speed 31 m/s with respect to the ground due north.
Part A: What is the speed of the plane with respect to the ground?
Part B: What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east).
Part C: How far west will the plane travel in 1 hour?
Please give me an explanation for this question.