A ladder leaning against a vertical wall 11.28 my up against the wall the foot of the ladder is 5 m from the wall calculate the length of the ladder ab 2= bc2 + ac2 ​ Solution

Question

A ladder leaning against a vertical wall 11.28 my up against the wall the foot of the ladder is 5 m from the wall calculate the length of the ladder


`ab 2= bc2 + ac2`
​ Solution

Answer 1

Hi

To calculate the ladder length, we'll use the Pythagorean theorem, represented by the formula:
`ab^2 = bc^2 + ac^2`.

In this case:
- bc is the height the ladder reaches on the wall (11.28 meters)
- ac is the distance from the foot of the ladder to the wall (5 meters)
- ab is the length of the ladder, which we need to find

We can plug the values into the formula:

`ab^2 = (11.28)^2 + (5)^2`

Step 1: Calculate the square of each value:

`ab^2 = 127.0784 + 25`

Step 2: Add the squared values:

`ab^2 = 152.0784`

Step 3: Find the square root of the sum to get the length of the ladder:

`ab = √(152.0784)`

`ab ≈ 12.33`

So, the length of the ladder is approximately 12.33 meters.