An airplane pilot wishes to fly to his destination 500 mi due west, but the wind is blowing at 35.3 mi/hr toward 10.7° north of west. The speed of the plane relative to the air is 187.1 mi/hr. At what angle (south of west) must the pilot orient the plane in order to fly to his destination directly? If the pilot orients the plane at that angle, what will be the speed of the plane relative to the ground? Please draw a picture with labeling for my understanding. Thanks.