A pilot wants to fly from Dallas to Oklahoma City, a distance of 330 km at an angle of 10.0° west of north. The pilot heads directly toward Oklahoma City with an air speed of 200 km/h. After flying for 1.0 h, the pilot finds that he is 15 km off course to the west of where he expected to be after one hour assuming there was no wind.
(a) What is the velocity and direction of the wind?
(b) In what direction should the pilot have headed his plane to fly directly to Oklahoma City without being blown off course?