a ladder leans against the side of a house , the top of the ladder is 24 ft from the ground , the bottom of the ladder is 7 ft from the side of the house find the length of the ladder , round your answer to the nearest tenth
We can use the Pythagorean Theorem to solve this problem. Let's call the length of the ladder "x".
According to the problem, the height of the house is 24 ft and the distance from the house to the bottom of the ladder is 7 ft.
Using the Pythagorean Theorem, we have:
x^2 = 7^2 + 24^2
x^2 = 49 + 576
x^2 = 625
Taking the square root of both sides, we find:
x = √625
x = 25 ft
Therefore, the length of the ladder is 25 ft.