An airplane is flying at an airspeed of 690 km/hr in a cross-wind that is blowing from the northeast at a speed of 55 km/hr.

In what direction should the plane head to end up going due east? Give your answer correct to 2 decimal places.

I know that the wind is coming from NE, so it should have components w = -55cos(45) - 55sin(45)

However, I cannot for the life of me figure out the airplane's components.