Question

The captain of a plane wishes to proceed due west. The
cruising speed of the plane is 245 m/s relative to the air. A
weather report indicates that a 38.0 m/s wind is blowing
from south to north. In what direction should the pilot head
the plane relative to the ground?

Answer 1

Vpw = Vp + Vw = -245 m/s
Vp + 38i = -245
Vp = -245-38i(Q3).

Tan A = Y/X = -38/-245 = 0.15510
A = 8.82o S. of W. = 188.82o CCW.