Question

In the figure you are in a system of two vertical parallel mirrors A and B separated by distance d. A grinning gargoyle is perched at point O, a distance 0.2d from mirror A. Each mirror produces a first (least deep) image of the gargoyle. Then each mirror produces a second image with the object being the first image in the opposite mirror. Then each mirror produces a third image with the object being the second image in the opposite mirror, and so on—you might see hundreds of grinning gargoyle images. How deep behind mirror A are the first, second, and third images in mirror A?

Answer 1

what a ridiculous question

Answer 2

okay, well the gargoyle is 0.2d from mirror A, so we know the first image is 0.2d deep

Answer 3

then the second image is reflected from mirror B, which is an entire d away

Answer 4

on top of that, the gargoyle that's in mirror b is 0.8d (because the distance from mirror a is 0.2 d so it's the rest of the distance), so all in all the depth of the second image in mirror a should be 1.8d, I believe

Answer 5

so knowing that, how far deep is the third image do you think?