A light plane attains an airspeed of 550 km/h. The pilot sets out for a destination 760 km due north but discovers that the plane must be headed 22.0° east of due north to fly there directly. The plane arrives in 2.00 h. What were the (a) magnitude (in km/h) and (b) direction of the wind velocity? Give the direction as an angle relative to due west, where north of west is a positive angle, and south of west is a negative angle.