A plane traveling 500 mph (called airspeed) in the direction 120 degrees encounters a wind of 80 mph in the direction of 45 degrees.

Question

What is the resultant direction of the plane (in degrees)?

Answer 1

You do not say if the wind is coming FROM NE or going TOWARD NE

In navigation, sailing, and flying we usually use the FROM convention and your NE breeze has components taking you 80/sqrt 2 south and 80 /sqrt 2 west

However you never know with mathematicians