The place you get your hair cut has two nearly parallel mirrors 8.00 m apart. As

Question

The place you get your hair cut has two nearly parallel mirrors 8.00 m apart. As you sit in the chair, your head is 2.50 m from the nearer mirror. Looking toward this mirror, you first see your face and then, farther away, the back of your head. (The mirrors need to be slightly nonparallel for you to be able to see the back of your head, but you can treat them as parallel in this problem.) How far away does the back of your head appear to be? Neglect the thickness of your head. Express your answer with the appropriate units.

Explanation / Answer

Light from the back of you head must go 5.50 m to the back mirror, then 8 m to front mirror and 2.50 m from the front mirror to you eyes. So you see the back of your head 16 meters away.

the distance where you see your head is double the distance between the two mirrors, it does not matter where you sit. so since the distance between the two mirrors is 8 m, the distance where you see your head is ( 8m * 2) = 16 m

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