The navigator of an airplane plans a flight from one airport to another 1200 km away, in one direction 30° east of north. The weather office informs him of a prevailing wind from the west, of 80 km/h. The pilot wants to maintain an air speed of 300 km/h.
(a) What heading should the navigator give the pilot?
(b) How long will the flight take?
(c) How much time did the wind save?