Formula to Calculate the Ladder Length:

The relationship between the height, the distance from the wall, and the ladder length forms a right triangle. You can use the Pythagorean theorem to calculate the ladder length:

Ladder Length=(Height to Reach)2+(Distance from Wall)2\text{Ladder Length} = \sqrt{(\text{Height to Reach})^2 + (\text{Distance from Wall})^2}

 

How far to put a ladder from a wall?

The ideal distance to keep a ladder from a wall is one foot away from the wall for every four feet of height the ladder reaches; this is commonly known as the "4 to 1 rule" for ladder safety.

Example:

If the user needs to reach a height of 10 feet and the distance from the wall is 4 feet, the calculation would be:

Ladder Length=(10)2+(4)2\text{Ladder Length} = \sqrt{(\text{10})^2 + (\text{4})^2}

Ladder Length=(116)2\text{Ladder Length} = \sqrt{(\text{116})^2 }

Ladder Length =10.77 feet

So, the user would need a ladder that is approximately 10.77 feet long.