Problem $5(10$ pts$)$: The image of a tree just covers the length of a plane mirror $8\mathrm{.}0$ cm tall when the mirror is held upright at arm's length $60$ cm from the eye. The tree is $10$ m from the mirror.

a$)(2$ pts$)$ Where is the image located?

b$)(6$ pts $)$ What is the tree's height?

c$)(2$ pts$)$ Is the image right$-$side up or inverted, and how tall is the image?