You are on an airplane traveling 30° south of due west at 130 m/s with respect to the air. The air is moving with a speed 30 m/s with respect to the ground due north.

Question

One question..
2)
What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due easth).

I'm having some trouble figuring out this question. If anyone could help me out it would be greatly appreciated. Thanks

Answer 1

speed north = 30 - 130 sin 30 = -35
speed west = 130 cos 30 = 113

tan angle south of west = 35/113

so angle south of west = 17.2 deg

so 270 - 17.2 = 253 on the compass rose