A light beam reflects off two parallel reflecting surfaces that are $\backslash ($ l$=181\backslash$mathrm$\{$~cm$\}\backslash )$ long and separated by a distance of $\backslash ($ s$=65\mathrm{.}0\backslash$mathrm$\{$~cm$\}\backslash ).$ If the beam of light enters this region as shown, with the angle $\backslash (\backslash$theta$=23\mathrm{.}6^\{\backslash$circ$\}\backslash ),$ determine the following.

$($a$)$ the number of times the light beam reflects off the left surface

Have you redrawn the figure with all angles and distances labeled? How is the entrance angle $\backslash (\backslash$theta $\backslash )$ related to the angle of incidence and the angle of reflection for the mirrors? times

$($b$)$ the number of times the light beam reflects off the right surface

How is the number of reflections off the right surface related to the number of reflections off the left surface? times