Question $4(5$ points$)$

Please refer to Figure $2.$ A light beam shines through air and then strikes a mirror, making an angle theta $\backslash (=23\mathrm{.}2\backslash )$ degrees with respect to the vertical, as shown. The reflected beam then strikes a pane of glass of thickness $\backslash ($ h$=1\mathrm{.}57\backslash$mathrm$\{$~cm$\}\backslash ),$ located a distance $\backslash ($ y$=46\mathrm{.}3\backslash$mathrm$\{$~cm$\}\backslash )$ from the mirror, and then exits the glass pane at the bottom, a horizontal distance xcm away from where it struck the mirror. What is the value of $\backslash ($ x $\backslash )?$

$14\mathrm{.}2$ cm

$20\mathrm{.}3$ cm

$8\mathrm{.}1$ cm

$24\mathrm{.}4$ cm

Question $5(5$ points$)$

Please refer again to Figure $2.$ This time, the incident ray is comin! III Irum water $\backslash ((\backslash$mathrm$\{$n$\}=1\mathrm{.}33\backslash ))$ rather than air. And this time, theta $\backslash (=49\mathrm{.}7\backslash )$ degrees, $\backslash ($ y$=47\mathrm{.}5\backslash$mathrm$\{$~cm$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$h$\}=\backslash )1\mathrm{.}76$ cm $.$ What is x now?

$23\mathrm{.}0$ cm

$74\mathrm{.}6$ cm

$45\mathrm{.}9$ cm

$57\mathrm{.}4$ cm