There are two large mirrors standing upright and facing each other, both 10 meters long. They are not quite parallel: if you extended them, they would intersect at a $1^\circ$ angle. The distance from the mirrors to this intersection point is also 10 meters. See below (the angle in the picture is exaggerated to make it more readable).

![enter image description here][1]

You also have a laser gun, which you plan to shoot at one of the mirrors so that the beam ricochets back and forth between them as many times as possible.

> What's the greatest number of reflections you can get?

Assume that a laser will reflect even if it hits the very edge of a mirror.

*Source:* [MSRI Emissary, Spring 2002, Puzzle Section](https://www.msri.org/attachments/media/news/emissary/EmissarySpring02.pdf)

  [1]: https://i.sstatic.net/aVV78.jpg