physics problem?

Question

What is the magnitude of plane that leaves the airport and flies 140 km at 68.0 degrees east of north and then changes direction to fly 240 km at 48.0 degrees south of east, after which it makes an immediate emergency landing in a pasture?

Answer 1

East:
140 sin68 + 240 cos48 = 290.4km
N - S:
140 cos68 - 240 sin48 = -99.16 (99.16km south)
Magnitude =√(290.4^2 + 99.16^2) = 306.9km