A pilot wants to fly a plane east at a velocity of 400.0 km/hr with respect to the ground. A 50.0 km/hr wind is blowing southward. With respect to the air, what velocity must the pilot maintain?

Answer 1

X = 400 km/h.
Y = 50 km/h.
V = sqrt(X^2+Y^2).

Answer 2

Tan A = Y/X = (-50)/400 = -0.125, A = -7.125o = 7.125o S. of E.