Roof pitch chart

15/12 Roof Pitch

15 inches of rise per 12 inches of run: 51.3°, a steep roof.

121551.3°
Angle
51.34°
Slope
125%
Rafter factor
1.6008
Type
Steep

What a 15/12 pitch means

A 15/12 roof rises 15 inches for every 12 inches it runs horizontally, which is an angle of 51.34° from level and a 125% slope. It is a steep roof, too steep to walk safely without roof jacks or a harness.

Roofing for a 15/12 roof

Suits shingles, metal, slate and tile. Steep enough that roofers need roof jacks or harnesses, which adds to labour cost.

Rise and rafter length at 15/12

For a gable roof, the run is half the building width. Rafter lengths are before the ridge deduction and overhang.

RunBuilding widthRiseRafter length
4 ft8 ft5'6' 4 13/16"
6 ft12 ft7' 6"9' 7 1/4"
8 ft16 ft10'12' 9 11/16"
10 ft20 ft12' 6"16' 1/16"
12 ft24 ft15'19' 2 1/2"
14 ft28 ft17' 6"22' 4 15/16"
16 ft32 ft20'25' 7 3/8"
20 ft40 ft25'32' 3/16"

Roof area at 15/12

Multiply the building footprint (including the overhangs) by 1.601 to get the roof surface. A 30 × 40 ft footprint has 1921 sq ft of roof at 15/12 — about 61 sheets of 4 × 8 sheathing before waste.

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Frequently asked questions

What angle is a 15/12 roof pitch?

51.34°. The angle is arctan(15 ÷ 12).

What is a 15/12 pitch as a percentage?

125% — 15 inches of rise for every 12 inches (125 per 100) of run.

How much does a 15/12 roof rise?

15" for every foot of run. Over 12 ft of run — half of a 24 ft wide building — it rises 15'.

What is the rafter factor for a 15/12 pitch?

1.6008. Multiply the horizontal run by it for the rafter length: 12 ft of run takes a 19' 2 1/2" rafter, before the overhang.

What roofing can go on a 15/12 roof?

Suits shingles, metal, slate and tile. Steep enough that roofers need roof jacks or harnesses, which adds to labour cost.