You want to see how your new belt buckle matches your new hat. Your eyes are \(110 \mathrm{~mm}\) below the top of the hat and \(800 \mathrm{~mm}\) above the buckle. You walk up to your mirror and notice that the mirror is exactly large enough and exactly in the right position for you to see both the top of the hat and the buckle.

(a) What is the position of the top edge of the mirror relative to your eyes? 

\((b)\) How tall is the mirror?