You are listening to the FM radio in your car. As you come to a stop at a traffic light, you notice that the radio signal is fuzzy. By pulling up a short distance, you can make the reception clear again. In this problem, we work through a simple model of what is happening. Our model is that the radio waves are taking two paths to your radio antenna: the direct route from the transmitter an indirect route via reflection off a building Because the two paths have different lengths, they can constructively or destructively interfere. Assume that the transmitter is very far away and that the building is at an a45-degree angle from the path to the transmitter. (Intro 1figure) Point A in the figure is where you originally stopped, and point B is where the station is completely clear again. Finally, assume that the signal is at its worst at point A, and at its clearest at point B.