An aeroplane flies horizontally at 80m/s in still air. If the aviator wishes to fly due south and the wind is blowing from the south-east at 30m/s,

Question

1. what course must he steer.
2. how long will it take him to arrive at his destination 200km away.

Answer 1

A = direction angle steered east of south
V south = Vs = 80 cos A - 30 cos 45
V east = Ve = 80 sin A - 30 sin 45 = 0 if going south
so
80 sin A = 30* .707
etc