calculation subject proportion

[Connor Capetillo]

I'm attempting to film a practical of a company leader and need some help with calculating the size of the various layers.

 

What we're trying to accomplish is this: a camera will track a half moon/crescent shape. In front of it are about four layers that when combined make up our logo. As the camera moves from the side/start position to the middle/end position the layers line up and form the end image.

 

my question is this: since the layers are different lengths away from the camera/lens how do I calculate how large to print each layer. I assume the layers closest to the camera have to be proportionally smaller than the back layers, correct?

 

any help would be appreciated.

 

Thanks!