Drone reaches a cruising altitude of 6 miles. drone needs to fly at exactly 500 miles per hour in the direction of 30 east of north. However, a wind is blowing at 120 miles per hour in the direction of 15 south of east. Orient the Cartesian plane so that the positive x-axis is east and the positive y-axis is north. Determine the speed and direction that drone should fly in the desired direction and at the desired speed.

Mutalisk is located at 60 miles east, 140 miles north, and 0 miles in elevation (60,140,0)The missiles that it fires has a range of 19 miles. Determine if the drone comes within range of the mutalisk with Vector projection & dot product