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Ladder Angle Calculator

Calculate the safe angle and base distance for a ladder.

ft
ft
Live Calculation

Ladder Angle

75.96

°

Required Ladder Length

12.37

ft

Scientific Interpretation

A safe angle is around 75°. If your angle is too steep or too shallow, adjust the base distance.

Live Step-by-Step Calculation

# Given Values:
Ladder Height: 12 ft
Base Distance from Wall: 3 ft
# Formula:
Ladder Angle = atan(h / b) * (180 / 3.14159)
# Substitution:
Ladder Angle = atan(12 / 3) * (180 / 3.14159)
Final Answer: 75.9638 °

How it works

θ=tan⁡−1(H/B)\theta = \tan^{-1}(H/B)

Biological Formula Standard

For safety, the base of a ladder should be 1 foot away from the wall for every 4 feet of height (the 4-to-1 rule). This creates an angle of approximately 75.5 degrees.

How it Works

θ=tan⁡−1(H/B)\theta = \tan^{-1}(H/B)

For safety, the base of a ladder should be 1 foot away from the wall for every 4 feet of height (the 4-to-1 rule). This creates an angle of approximately 75.5 degrees.

AI Insight

Did you know? Consistent tracking of these metrics can help identify trends over time. Try adjusting the inputs to see how sensitive the result is to each variable.

Next Steps

Explore related calculators in the construction category to get a more comprehensive view of your situation.

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