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You will need to stagger because the bottom of your screen is low enough so that the person in the front row is blocking the view of the person in the second row. I don't think it will be avoidable unless you stagger. As a side note, I had the exact opposite issues in my current room with its...

Let's start with some calculations.... A 100" 16x9 diagonal screen is 49" x 87". Your ceiling height (after drop) would be 7'3". Your projector's lens will be at a height of 6'5" according to your measurements. You will need to mount the screen at the maximum possible height in that room...