Airplane in Wind: Calculation of Ground Velocity
Navigation directions are usually expressed in terms of compass angles as illustrated.
This calculation is a straighforward vector addition of the airplane's airspeed and the wind velocity.
Note: The wind direction in this calculation is the direction of air motion, not the direction from which the wind is coming. So if you call a wind from the north a "north wind", then the air motion direction is south and you would enter 180° for the wind angle.