When two plane mirrors are parallel, such as on opposite walls in a barber shop,

Question

When two plane mirrors are parallel, such as on opposite walls in a barber shop, multiple images arise because each image in one mirror serves as an object for the other mirror. An object is placed between parallel mirrors separated by 25 cm. The object is 15 cm in front of the left mirror and 10 cm in front of the right mirror.

Find the distance from the left mirror to the first four images in that mirror.

Find the distance from the right mirror to the first four images in that mirror.

Please try to explain how you got your answer too! Thanks in Advance

Explanation / Answer

The first image in the mirror on the left is 15 cm behind the mirror. The mirror on the right forms an image 10 cm behind that mirror or 35 cm from the left mirror. This image will result in a second image
35 cm behind the left mirror. The first image in the left mirror is 40 cm from the right mirror and forms an image 40 cm behind the right mirror or 65 cm from the left mirror. That image gives an image 65 cm behind the left mirror. The fourth image behind the left mirror is 105 cm behind that mirror.

a)

For the mirror on the left, the images are located 15 cm, 35 cm, 65 cm, and 105 cm behind the mirror on the left

b)

For the mirror on the right, the images are located 30 cm, 20 cm, 80 cm, and 90 cm behind the mirror on the right.

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