Ladder Angle Calculator

Quick answer

The ladder angle calculator finds the height a ladder reaches and its angle from the ladder length and base distance, checks it against the safe 75.5° (4-to-1) angle and tells you where to place the foot.

Height reached
—
Ladder angle
—
Ideal base distance (75.5°)
—
Height at ideal angle
—

OSHA and ladder manufacturers recommend the 4-to-1 rule: for every 4 ft of height to the support point, move the base out 1 ft. That gives an angle of about 75.5°. Too steep and the ladder can tip backwards; too shallow and the base can slide out. When accessing a roof, the ladder should extend 3 ft above the edge.

How to use the Ladder Angle Calculator

  1. Ladder length (working)
  2. Base distance from wall
  3. Every result field is editable: type into Ladder angle and Base distance from wall plus every other field update to match.

Results update as you type, and every field accepts the units shown in its menu.

How it works

Enter the ladder length and the distance of its foot from the wall. The calculator returns the height reached, the angle and the ideal base distance. Type a target angle or height to find the base distance.

Tips for an accurate estimate

  • Take measurements at floor level and at the ceiling – walls and rooms are often slightly out of square.
  • Use the manufacturer’s coverage, spacing and installation data when it differs from the typical values here.
  • Keep a little extra of every finish material for touch-ups and repairs later.
  • Check local building codes and permits before structural, electrical, plumbing or gas work.

Common mistakes to avoid

  • Sizing heating or cooling equipment by area alone when insulation, windows and climate make a big difference.
  • Buying too little paint, stain or flooring and ending up with mismatched batches.
  • Overlooking the extra material for steps, railings, gables and trim.

Inputs explained

Field What to enter
Ladder length (working) Units: ft, m, in, yd, cm
Base distance from wall Units: ft, m, in, yd, cm

What each result means

  • Height reached = sqrt(max([Ladder length (working)]^2 – [Base distance from wall]^2, 0))
  • Ladder angle = deg(acos(min([Base distance from wall]÷[Ladder length (working)], 1)))
  • Ideal base distance (75.5°) = [Ladder length (working)]÷4
  • Height at ideal angle = [Ladder length (working)]×sqrt(15)÷4

Example values

How the main result changes when Base distance from wall changes and everything else stays at the example values above:

Base distance from wall (ft) Ladder angle (°)
2.5 82.8
3.75 79.2
5 75.5
6.25 71.8
7.5 68
10 60

Formula

Height = √(L² − base²)Angle = acos(base ÷ L)Ideal base = L ÷ 4 (75.5°)

Worked example

Inputs — Ladder length (working): 20 ft; Base distance from wall: 5 ft.
Results — Height reached = 19.36 ft; Ladder angle = 75.5 °; Ideal base distance (75.5°) = 5 ft; Height at ideal angle = 19.36 ft.

Frequently asked questions

What is the safe angle for a ladder?

About 75.5°, which is the 4-to-1 rule: 1 ft out for every 4 ft up.

How tall a ladder do I need for a 16 ft roof edge?

About 20 ft for the angle plus 3 ft above the edge – a 24 ft extension ladder.

Does the overlap of an extension ladder reduce its length?

Yes – a 24 ft extension ladder with 3 ft overlap has about 21 ft of working length.

What formula does the Ladder Angle Calculator use?

Height = √(L² − base²).

Sources

  1. OSHA 1926.1053 – Ladders

Cite this calculator

Speedy Calculator. (2026). Ladder Angle Calculator. Speedy Calculator. https://speedycalculator.com/calculators/construction/ladder-angle/