posted by Dan .
A river flows due east at 2.00 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 11.0 m/s due north relative to the water.
An airplane flies 200 km due west from city A to city B and then 270 km in the direction of 31.0° north of west from city B to city C.
(a) In straight-line distance, how far is city C from city A?
(b) Relative to city A, in what direction is city C?