Dog,
Sticking my neck out (to be chopped off by someone who's much better at maths than me
) I reckon the angle you need is 11.768 deg :idea: (or 78.23 deg depending on which way you look at it) - or thereabouts (probably some rounding errors in my calculations).
I assume that you want the roof to end in a point (this makes it easier) and that you want to use the existing lengths (24") and widths (10") of the wood to construct the roof pieces.
If you imagine cutting each peice you end up with in two along their length you'd get two right angled triangles. Harking back to school days, pythagoras' theorem states that for any right-angled triangle with lengths a, b & c that the following must be true:
c*c = a*a+ b*b (where c is the longest side)
The length of the longest (sloping) side is therefore the square root of (24*24+5*5), or 24.5153. With this, we know that the angle opposite this side is 90deg (because it's a right angled triangle) and can use the "law of sines" to caculate one of the other angles (which states that for any triangle, the length of a side divided by the sine of its opposite angle is the same when applied for any of the other sides/angles). Or....
a/sin(A) = b/sin(B) = c/sin(C) .... where a/b/c are the lengths and A/B/C are the oppposite angles
Are you still with me :shock: (I'm not sure I'm with me but I'll rattle on anyway :? )
So, if we know that the longest side is 24.5143 and the angle opposite is 90deg then we can deduce that...
24.5153/sin(90) = 5/sin(B) ....where B is the angle we're trying to find...
Working this through, we get...
B = arcsin ( (5*sin(90)) / 24.5153) or 11.768deg
If you were worried that your last post didn't make sense then I've probably put that fear to rest - at this rate they'll be carrying me off to the cells with padded walls... :roll: It's kind of difficult to explain this in text form only, but hopefully it makes sense... Of course this only works if the lengths of the roof peices are long enough to form the point (which in this case they should be).
For what it's worth, I usually end doing this sort of thing using a CAD package (because I'm lazy and it's more fun that way) - but I saw your post and couldn't resist the challenge...
Hope that helps (but probably not the simple answer you were looking for)...
Cheers,
Martin.
P.S. the CAD package I use is called TurboCAD, which I can very much recommend. Excellent peice of software...