Posted by Brock on Tuesday, February 24, 2009 at 11:35pm.
Draw the light rays going backwards, starting from his eye. For a ray diagram, represent the object and mirror as two parallel vertical lines. Use any distance X apart; it won't affect the answer. One limiting light ray should go from his eye to the mirror, bounce off and hit the top of his head. The other limiting ray should go downward from his eye and bounce off to hit his shoes. There will be a virtual source on the opposite side of the mirror, an equal distance X away.
The only place you will actually need a mirror is between the two places where the limiting rays strike the mirror. The distance between them, using geometry, will turn out to be 1 meter. The bottom of the minimum-length mirror should be (2.0-0.2)/2 = 0.9 m above the ground.
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