An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 42 km/h, and the plane’s air speed is 400 km/h, what direction must the pilot fly to make it to Toronto?

Answer 1

fly Theta deg East of South

south speed = 400 cos Theta - 42
east speed = 400 sin Theta
tan Theta = 400 sin Theta / [ 400 cos Theta - 42 ] = tan 5
solve for Theta