An airplane pilot sets a compass course due west and maintains an airspeed of 200 . After flying for a time of 0.50 , she finds herself over a town a distance 120 west and a distance 15 south of her starting point. Find the magnitude and direction of the wind velocity. If the wind velocity is 40 due south, in what direction should the pilot set her course to travel due west? Use the same airspeed of 200 .