| Run (ridge center to outside of wall) | 12' 0" |
|---|---|
| Total rise at the ridge center | 6' 0" |
| Rafter line length, ridge center to wall | 13' 5" |
| Less half the ridge board | − 13/16" (3/4" × slope factor) |
| Plus the tail (overhang) | + 1' 1 7/16" |
| Rafter length, ridge cut to tail cut | 14' 5 9/16" |
| Plumb cut (ridge and tail) | 26.6° from square, or 6 on the common scale of a speed square |
| Seat cut | square to the plumb cut, 3 1/2" long |
| Birdsmouth heel cut | 1 3/4" tall (plumb) |
| Notch depth into the rafter | 1 9/16", 22% of a 2×8's depth |
| Plumb cut depth at the ridge | 8 1/8" (the ridge board must be at least this deep, IRC R802.3) |
| Slope factor | 1.118 (rafter length per foot of run) |
Rafter size and spacing depend on span, snow load and roof weight, which this calculator doesn't check. Use your code's rafter span tables or an engineer.