An aircraft has to fly between two cities, one of which is 600.0 km north of the

Question:

An aircraft has to fly between two cities, one of which is 600.0 km north of the other. The pilot starts from the southern city and encounters a steady 100.0 km/h wind that blows from the northeast. The plane has a cruising speed of 300.0 km/h in still air.
(a) In what direction (relative to east) must the pilot head her plane?
(b) How long does the flight take?