What I suggest is the Isosceles triangle, it is 60 degrees on all sides allowing you to do easy calculations.
It also allows you to cut all of your material at the same length.
You could use a 10 foot 4x4 sunk in the ground in the center about 1 foot 5 inches.
This would allow you to use 10 foot 2x4's on the side poles and also for the bottom frame.
if you were to cut the corners out at the top of the 4x4 making 8 sides to attach the boards it would look really nice and easy to do.
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