An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?

Answer 1

add the vectors.
flying: 90sin310 E + 90 cos310 N
windblowing: 40sin(332-180)E+40cos(332-180)N

now add them
result: East(90sin310+40sin152)+North(90cos310+40cos152)

figure those, and you are near the end. Post your questions if you get lost from here.

Answer 2

Airplane going N 60 degrees W at a speed of 400 mph. What wind direction, at a speed of 75 mph will produce a resultant direction of N 50 degrees W.