Question

There is a lighthouse on an iscolated island, Imagine this Lighthouse is located on the origin, There is a drugboat caught in the light of this lighthouse house, that is being controlled by a person, this person in the lighthouse keeps readjusting the light so that he keep sight on this drugboat while the police helicopters catch him the boat driver thinks it is a good idea to drive a 45 degree from the lightpointed at him, to try and escape, what does the graph of the path of this boat driver look like, and find the function of the graph.