The following table shows the roof pitch (rise-in-run) equivalents for all roof slopes in degrees from 1° to 72°. Other than the 45° roof slope, which is 12-in-12, none of the standard roof pitches (5-in-12, 6-in-12, etc.) are equal to a whole degree.

To see what the degree equivalents are for standard rise-in-run roof pitches, see our page, Quick Reference: Roof Slope Expressed as Rise : Run, Degrees, Percentage. That page also explains the math that allows you to do the conversions yourself for any slope not listed.

To Convert Slopes of fractional degrees to Rise-in-Run: Find the tangent of the degree value. Multiply the tangent by the run (which is by convention always 12). That gives you the rise. Put them together as Rise-in-Run.

Example: For a slope of 35.5°,

tan(35.5) = 0.713

0.713 x 12 = 8.556

giving you a slope of 8.556-in-12 or

approximately 8-9/16 in 12.

If you’re not sure what the slope of your roof is and you want to determine that in either degrees or rise-in-run, we recommend this slope finder on Amazon.* It’s very inexpensive and very accurate.

If you’re using this table, you may want to look into getting yourself a construction calculator. This one is very good.*

Convert Roof Slope from Degrees to Rise-in-Run

Roof Angle in Degrees Roof Slope as Rise-in-Run (X-in-12)
0.209 in 12
0.419 in 12
0.629 in 12
0.839 in 12
1.050 in 12
1.261 in 12
1.473 in 12
1.687 in 12
1.901 in 12
10° 2.116 in 12
11° 2.333 in 12
12° 2.551 in 12
13° 2.770 in 12
14° 2.991 in 12
15° 3.215 in 12
16° 3.441 in 12
17° 3.669 in 12
18° 3.899 in 12
19° 4.132 in 12
20° 4.368 in 12
21° 4.606 in 12
22° 4.848 in 12
23° 5.094 in 12
24° 5.343 in 12

Convert Roof Slope from Degrees to Rise-in-Run

Roof Angle in Degrees Roof Slope as Rise-in-Run (X-in-12)
25° 5.596 in 12
26° 5.853 in 12
27° 6.114 in 12
28° 6.381 in 12
29° 6.652 in 12
30° 6.928 in 12
31° 7.210 in 12
32° 7.498 in 12
33° 7.793 in 12
34° 8.094 in 12
35° 8.403 in 12
36° 8.719 in 12
37° 9.043 in 12
38° 9.375 in 12
39° 9.717 in 12
40° 10.069 in 12
41° 10.431 in 12
42° 10.805 in 12
43° 11.190 in 12
44° 11.588 in 12
45° 12.000 in 12
46° 12.426 in 12
47° 12.868 in 12
48° 13.327 in 12

Convert Roof Slope from Degrees to Rise-in-Run

Roof Angle in Degrees Roof Slope as Rise-in-Run (X-in-12)
49° 13.804 in 12
50° 14.301 in 12
51° 14.819 in 12
52° 15.359 in 12
53° 15.925 in 12
54° 16.517 in 12
55° 17.138 in 12
56° 17.791 in 12
57° 18.478 in 12
58° 19.204 in 12
59° 19.971 in 12
60° 20.785 in 12
61° 21.649 in 12
62° 22.569 in 12
63° 23.551 in 12
64° 24.604 in 12
65° 25.734 in 12
66° 26.952 in 12
67° 28.270 in 12
68° 29.701 in 12
69° 31.261 in 12
70° 32.970 in 12
71° 34.851 in 12
72° 36.932 in 12