A lighthouse is on an island 200 meter off shore. The lighthouse beam makes a full turn every 13 seconds. How rapidly is the point where the beam meets the shoreline moving along the shoreline when the beam meets the shoreline at a point 1200 meters from the lighthouse? Hint: "One full turn every 13 seconds" means that it goes 2 radians every 13 seconds. In other words, the rate of change of the angle is 2/13 rad per second. 6