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Pythagoras²Equation Solver
Navigationa² + b² = c²
4:1 Sicherheits-ToolL = √(h² + (h/4)²)

Leitersicherheit & Anstellwinkel Rechner

Calculate compliant OSHA 4:1 ladder standoff, safe ~75.96° inclination angle, and minimum working reach before climbing. Studying general right-triangle math or missing side problems? Return to our Pythagoras equation solver.

Interactive Pitch Angle Gauge+3 ft / +0.91 m Roof Extension ToggleFeet & Meters Support
Result updated: Base standoff is 4 ft, pitch angle is 76 degrees (Safe OSHA zone), minimum ladder length is 19.49 ft.

Leitersicherheit & Anstellwinkel Rechner

OSHA 4:1 Rule: base = h / 4 · L = √(h² + base²) · θ ≈ 75.5°–76°

Enter the vertical wall height from ground to the top contact point.
Steeper (>79° Tip Risk)0%: Exact OSHA 4:1Shallower (<71° Slip Risk)
Sicherer 4:1 Bereich
Anstellwinkel: 75.96°
76°
Sicherer Wandabstand
4 ft
Min. Leiterlänge
19.49 ft
Reach: 16.49 ft
θ = 76°base = 4 fth=16ftL = 19.49 ft

Schritt-für-Schritt Sicherheits-Checkliste

  • Set ladder base 4 ft away from wall (OSHA 4:1 rule for 16 ft height).
  • Verify ladder working reach L = √(16² + 4²) ≈ 16.49 ft.
  • Add 3 ft roof landing extension → select ladder ≥ 19.49 ft.
  • Safe OSHA Pitch (75.96°): Balanced against backward tip and base slip.

Schritt-für-Schritt Sicherheits-Checkliste

01

Measure Eave or Support Height (h)

Determine the vertical contact height. Never guess ladder reach by height alone because angling the base consumes vertical length.

02

Set 4:1 Base Standoff (b = h ÷ 4)

Position feet out 1 ft per 4 ft of wall height (0.25 m per 1 m). This hits ~75.96°, squarely inside the OSHA 72°–78° safe pitch band.

03

Include +3 ft (+0.91 m) Roof Extension

When transitioning onto a roof deck, add 3 feet past the gutter/eave line so your hands maintain three-point grip while stepping off.

04

Perform Elbow & Foot Check

Stand upright with toes touching the ladder rails and extend arms straight ahead—your palms should comfortably touch the rung at shoulder height (~75.5°).