Question

Points on the terminal sides of angles play an important part in the design of arms for robots. Suppose the robot's arm can change its length in addition to rotating about the origin in a coordinate plane. If the hand is initially at (16, 16), approximately how many degrees should the arm be rotated and how much should its length be changed to move the hand to (-22, 12)? Please round the first answer to the nearest whole number and the second answer to the nearest hundredth.