Reviewed, sourced guidance

Calculate roof pitch from rise and run

Direct answer

Roof pitch in degrees equals arctan(vertical rise divided by horizontal run). A rise of 3 m over a 4 m horizontal run is about 36.9 degrees.

Pitch is an angle. If you know the vertical rise and horizontal run, inverse tangent gives the angle in degrees.

Key takeaways

  • Use vertical rise and horizontal run in the same units.
  • The slope length is not the horizontal run.
  • Different roof planes may have different pitch angles.
  • Never treat an unassessed roof as safe to walk on.

Use rise over run

Measure the vertical rise and its matching horizontal distance. Divide rise by run, then take the inverse tangent to get degrees.

A rise of 3 m and a run of 4 m gives arctan(0.75), or about 36.9 degrees.

  • Keep both measurements in metres or both in another shared unit.
  • Do not substitute the sloping rafter length for horizontal run.
  • Check each plane when pitches vary across the roof.

Sources for this section: Marley, How to calculate roof pitch (observed 2026-09-25)

Product suitability is a separate check

A calculated angle does not prove that a chosen tile or slate can be installed there.

Minimum pitch varies by the exact product, finish and headlap. Read the current technical data for that system.

  • Marley Duo Modern lists different minimum pitches by finish and headlap.
  • Separately, Marley recommends technical advice for Duo Modern slopes over 6 metres or sites in a severe exposure category.
  • Do not carry one manufacturer’s values across to another product.

Sources for this section: Marley, Duo Modern product data (observed 2026-09-25)

Keep the measurement safe

HSE describes roof work as highly dangerous and says roofs should be treated as fragile until a competent person confirms otherwise.

Use plans, ground-level measurements or a qualified surveyor. This calculator never asks you to climb onto a roof.

  • Do not stand on tiles, rooflights or sheeted roofing to measure pitch.
  • Use suitable professional access and precautions for any roof work.
  • Stop if measurements would require unsafe access.

Sources for this section: Health and Safety Executive, Roof work (page updated 2026-06-05; observed 2026-09-25)

Next steps

  1. Record the rise and horizontal run for each plane.
  2. Check the exact covering specification before comparing pitches.

Sources

Use the measuring checklist