Question

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 226 m/s relative to the air. A weather report indicates that a 32.0-m/s wind is blowing from the south to the north. In what direction, measured with respect to due west, should the pilot head the plane?

Answer 1

Vp + Vw = -226 m/s.
Vp + 32i = -226
Vp = -226 - 32i

Tan Ar = -32/-226 = 0.14159
Ar = 8.06o = Reference angle.
A = 8.06 + 180 = 188.06o,Q3. = 8.06o S. of W. = Direction.