Can anyone help with specifics in angles??

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here is a diagram of a project I am working on..the only thing missing are actual angles and measurements involved.How should I figure out exact angles?? It is basicly for a compact DLP/LCD projector and uses mirrored pathways to help magnify the image size by adding throw distance specificaly for smaller rooms. Say a 10ft.throw distance gave the viewer only an 80 inch image diagnal,with this device they can create an even larger image,providing the projector has enough resolution to meet the needs.I imagine the box to be about 2ft.in width and 4ft. in height but it's nothing concrete.

Answer:
It seems to me that you want to reflect the light back and forth as many times as possible. What about 100 X? then you would have a 200 foot path! The limiting factor will be the width of the beam - make the reflections as close together as possible so that the expanding light beam does not overlap itself. The first reflection will be very close to the second and then farther apart for the third etc. until you run out of space.

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