Question

An aircraft has a cruising speed of 100 m/s On a particular day, a wind is blowing from the west at 75.0 m/s
If the plane is pointed due north, what would be the magnitude and direction of the velocity relative to the ground?
If the pilot wishes to have a resultant direction of due north, in what direction should the plane be pointed?

Answer 1

X = 75 m/s.
Y = 100 m/s.

Q1. tan A = Y/X = 100/75 = 1.33333
A = 53.1o

V=Y/sin A = 100/sin53.1 = 125.0N.[53.1o]

Q2. Direction = 90o-53.1o=36.9o W of N.