What s the equation for finding the minimum height and angle required for fitting a 40mm x 21mm plane inside a 34.3mm inner diameter tube?

Update: I'm trying to calculate how much vertical space/height will be required for fitting a 40mm x 21mm plane inside a 34 mm inner diameter tube. It cannot fit flat because it is too wide, so I'm trying to predict the amount of space needed and at what angle I should require. It will also be a rectangle inside a... show more I'm trying to calculate how much vertical space/height will be required for fitting a 40mm x 21mm plane inside a 34 mm inner diameter tube. It cannot fit flat because it is too wide, so I'm trying to predict the amount of space needed and at what angle I should require. It will also be a rectangle inside a tube, so this must be accounted for. I've included pictures to help. http://i63.tinypic.com/2w6vs00.jpg
https://s.yimg.com/tr/i/4c57128f715b44f68b82aca803cb9465_A.jpeg
Update 2: http://i65.tinypic.com/2h5sf40.jpg
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