Answer to Question #193895 in Physics for Nechie

Question

An aircraft can fly at a velocity of 280 km/h with no wind interference. It must fly to an airport 275 km/h of its current position. A north-westerly wind with a velocity of 72 km /h is blowing. 
Calculate the direction ij which the aircraft must fly to get to the airport.

Answer 1

$$V'^2=V^2+u^2-2Vu\cos{\theta}\\ 275^2=280^2+72^2+2(280)(72)\cos{\theta}\\\theta=101\degree$$