Question

The place you get your hair cut has two nearly parallel mirrors 6.00 m apart. As you sit in the chair, your head is 2.00 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?

Answer 1

12 m

Step-by-step explanation:

Hi! The ecplanation is based on the figure. Lets call the mirrors M1 and M2. Your head is the triangle called A, facing towards M1

Then:

A' is the image (virtual) of A given by M1. This is the image of your face.

A'' is the image of A given by M2. This image A'' when reflected by M1 produces image A'''. This is the image of the back of your head you see. It is 12 m away of you.