Ladder Angle Calculator

Formula

The formula to calculate the Ladder Angle (LA) is:

\[ \text{LA} = \arctan\left(\frac{H}{B}\right) \]

Where:

\(\text{LA}\) is the Ladder Angle (degrees)
\(\text{H}\) is the Height of the Ladder (feet)
\(\text{B}\) is the Base of the Ladder (feet)

What is the Correct Ladder Angle?

The most common recommended ladder angle is 75 degrees. A 75-degree angle creates a base that is 1/4 of the height, or in other words, the height to base ratio is 4:1. This ensures stability and safety while using the ladder.

Example Calculation

Let's consider an example:

Height of the Ladder (H): 12 feet
Base of the Ladder (B): 3 feet

Using the formula to calculate the Ladder Angle:

\[ \text{LA} = \arctan\left(\frac{12}{3}\right) \approx 75.96 \text{ degrees} \]

This means that the Ladder Angle (LA) is approximately 75.96 degrees, which is close to the recommended 75 degrees.