Use the diagram to prove that you can see your full self in a mirror that is only half of your height. Assume that you and the mirror are both perpendicular to the floor.

a. Think of a light ray starting at your foot and reflected in a mirror. Where does it have to hit the mirror in order to reflect to your eye? 

b. Think of a light ray starting at the top of your head and reflected in a mirror. Where does it have to hit the mirror in order to reflect to your eye? 

c. Show that the distance between the points you found in parts (a) and (b) is half your height.

Transcribed Image Text:

A B E D --A' C'