I have tried everything. It has to be in degrees and rounded to the nearest tenth. Trig

Question

The engines of a plane are pushing it due north at a rate of 300 mph, and the wind is pushing the plane 20 deg west of north at a rate of 40 mph . In what direction is the plane going?

Answer 1

The way this is worded the solution seems simple. The plane is flying at 340° because the wind is blowing the plane 20° to the west of it's course. Do you mean there is a wind coming 20° out of the west at 40 mph? In this case the wind would be blowing against the plane and would cause it's ground speed to slow down. Also, the wind would be blowing towards the SSE at 160°. Is this what you mean?