Add the two vectors. Since they are perpendicular, you can get the magnitude from the Pythagorean theorem.
The ratio 55/225 is the tangent of the resultant ground velocity, angle east of north
A plane flies due north at 225 km/h. A wind carries it due east at 55 km/h. What are the magnitude and direction of the plane's resultant velocity?
3 answers
How do you add the vectors?
http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/Vectors/VectorAdditionSteps.html