Answer:
Explanation:
We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder forms the hypotenuse, the distance from the wall to the base of the ladder forms one leg, and the height of the ladder forms the other leg. Let's call the length of the ladder "L".
Using the Pythagorean theorem, we can write:
L^2 = (distance from the wall)^2 + (height of the ladder)^2
Substituting the given values, we get:
L^2 = 10^2 + 24^2
L^2 = 100 + 576
L^2 = 676
Taking the square root of both sides, we get:
L = sqrt(676)
L = 26
Therefore, the length of the ladder is 26 feet.