Robot's arm Points on the terminal sides of angles play an important part in the design of arms for robots. Suppose a robot has a straight arm 18 inches long that can rotate about the origin in a coordinate plane. If the robot's hand is located at (18,0) and then rotates through an angle of 60 degree, If the hand is initially at (12,12), approximately how many degrees should the arm be rotated and how much should its length be changed to move the hand to (-16,10)?