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A woman's height is 171 cm, and her eyes are located 9.7 cm below the top...

A woman's height is 171 cm, and her eyes are located 9.7 cm below the top of her head.

a) Find the top-to-bottom dimension of the smallest mirror that will enable her to see her complete reflection (from the top of her head to the bottom of her feet). To accomplish this, it helps to draw the incident and reflected rays from various parts of her body.

b) Not only must the mirror have a certain minimum size, but if its size is that minimum, there is only one vertical position in which it can be mounted on the wall if she is to be able to see her whole body. Find the height above the floor at which the top of the mirror must be located in order for her to be able to see her reflection.

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Answer #2

a) hiegth of mirror = 80.65 cm

b) the mirror should be placed 40.325 cm above ground

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