Two plane mirrors stand facing each other, 2.92 m apart, and a woman stands betw

Question

Two plane mirrors stand facing each other, 2.92 m apart, and a woman stands between them. The woman faces one of the mirrors from a distance of 1.25 m and holds her left arm out to the side of her body with the back of her hand facing the closer mirror.
(a) What is the apparent position of the closest image of her left hand, measured perpendicularly from the surface of the mirror in front of her?
_____ m behind the nearest mirror

(b) Does it show the palm of her hand or the back of her hand?
_____

(c) What is the position of the next closest image?
_____ m behind the nearest mirror

(d) Does it show the palm of her hand or the back of her hand?
_____

(e) What is the position of the third closest image?
_____ m behind the nearest mirror

(f) Does it show the palm of her hand or the back of her hand?
_____

Explanation / Answer

a)
1.25 m
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b)

back of her hand

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c)

2.92 +1.67 = 4.59 m

behind the nearest mirror

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d)

palm of her hand

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e)

distance of 2nd image from second mirror = 2.92 + 1.25 = 4.17 m

third image = 4.17 + 2.92 = 7.09 m

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f)

back of her hand

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