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).

You also have a laser gun, which 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 most number of reflections you can get?

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

Source: MSRI Emissary, Spring 2002, Puzzle Section

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).

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