To find the length of the ladder, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides.
Let's call the length of the ladder "x". The height of the ladder is 9ft and the distance from the house to the bottom of the ladder is 6ft.
Therefore, we have the following equation:
x^2 = 9^2 + 6^2
x^2 = 81 + 36
x^2 = 117
Taking the square root of both sides to solve for x:
x = √117
x ≈ 10.8
Therefore, the length of the ladder is approximately 10.8 feet.
A ladder leans against the side of a house. The top of the ladder is 9ft from the ground. The bottom of the ladder is 6ft from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth
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