The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N W at a speed of 50 km/h. (This means that the direction from which the wind blows is 45 degree west of the northerly direction.)

A pilot is steering a plane in the direction N60 degree E at an airspeed (speed in still air) of 250 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.