An airplane is flying with a constant altitude at a speed of 350 mph in a direction 20° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 31 mph in a direction 75° north of east.

If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling?

What is the speed in mph?
What is the direction in degrees?