An aircraft have a speed in still air of 400 km/h. A wind is blowing from the south at 80 km/h.

Question

The pilot wishes the aircraft to travel due east. Find the direction in which aircraft should be steered and the speed at which it will travel.

Answer 1

for every hour, the aircraft goes 80km. To go south to compensate, the 400SinTheta=80 on speed, or theta=.2 or Theta will be arc sin .2 S of East.