Let's take a typical bi-level house, say 26' x 40'. Attach an addition of 16' x 40'. The addition would be parallel to the existing house - i.e., the 40' dimension of the addition is on the same axis as the 40' dimension of the existing house.
The existing roof is pitched at 4/12.
Here's a line drawing (only 4K). There is no roof depicted yet on the addition. (The arrow points to the back yard)
(The rafters would be about 22', if the base of the right triangle is
20+1' and the height is 7', I wonder if I'd need trusses...)The thing that nags at me is that this basic problem of extending a bi-level/ranch must be encountered all the time - but I can't see a good, basic solution, unless the whole addition comes off at ninety degrees to the main house.