A ladder rests against a wall that is 24 meters high. The foot of the ladder is 7 meters from the base of the wall. Calculate the length of the ladder.

To find the length of the ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the ladder in this case) is equal to the sum of the squares of the other two sides.

Let the length of the ladder be x meters.

According to the given information:
Height of the wall = 24 meters
Distance of the foot of the ladder from the base of the wall = 7 meters

Using the Pythagorean theorem:
x^2 = 24^2 + 7^2
x^2 = 576 + 49
x^2 = 625
x = √625
x = 25

Therefore, the length of the ladder is 25 meters.

Using the Pythagorean Theorem:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder is the hypotenuse of the right triangle formed by the ladder, the wall, and the ground.

Let's denote the length of the ladder as "L".

Using the Pythagorean theorem:

```
L^2 = 24^2 + 7^2
```

```
L^2 = 576 + 49
```

```
L^2 = 625
```

Solving for L:

```
L = sqrt(625)
```

```
L = 25 meters
```

Therefore, the length of the ladder is 25 meters.