A light aircraft with a cruising speed of 200km/h, flying in still air, first flew east for 1h 15 min, and then north for 3h. If the pilot now flies directly back to the home airfield, on what bearing should the pilot fly, and how long

will the flight take?

1 answer

Eastern distance = 250 km
northern distance = 600 km

looks like a right-angled triangle, and you want the hypotenuse
D^2 = 250^2 + 600^2
D = √...
= 650

base angle of that triangle :
tan^-1 θ = 600/250
θ = 67.4°

translate that into your "bearing"