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1st on the docket is a 2 dog, doghouse. As I am drawing up the plans and creating a cut list I have run into a snag and I can't figure out how to calculate a specific angel.

1st, let me say I'm a little perturbed that a 2x4 is actually a 1.5 x 3.5 and a 4x4 is 3.5 x 3.5. HOWEVER, my 4x8 sheet of plywood is 4x8! What is up with that?

And now for the math problem:

The front of the doghouse is 36" tall.

The back is 30" tall.

The width of the floor is 40" x 72".

The width of the roof is 43 x 75.

My goal is to "frame" the roof with a 2 x 4 (1.5 x 3.5) that sits with the 3.5" flush against the dog house - like a "lid".

The math problem: What angle is created when you have a 6" difference in height over 40"? I believe that I will need to make 1 angled cut on the 2x4 in the front of the dog house (on the 1.5" side). What is that angle? and how did you calculate that??

If you see any errors, please feel free to point them out. I am just trying to learn how to do a little more for myself! Thanks!!