A light plane attains an airspeed of 480 km/h. The pilot sets out for a destination 830 km due north but discovers that the plane must be headed 24.0° east of due north to fly there directly. The plane arrives in 2.00 h. What were the
(a) magnitude 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.