Question

1. You desire to place a mirror through which your entire body can be seen on...

1. You desire to place a mirror through which your entire body can be seen on a wall, but you
don't want any more mirror surface than is necessary to see your entire body. (a) Draw a
diagram showing you, the mirror, and the light rays that allow you to see the top of your head
and the tips of your toes through the mirror. (b) Use these rays to prove that the minimum
mirror height is half your height, and show in your diagram where this half-size mirror must be
placed on the wall in order to see your full height. (c) Draw a diagram proving that you can see
your full height through this half-size mirror no matter how far away you stand from it,
assuming that you are standing straight, the wall is vertical, there are no obstructions between
you and the mirror, and the floor is horizontal.

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