Final answer:
To find the distance from the wall to the base of the ladder, use the Pythagorean theorem. The distance is 6 feet.
Step-by-step explanation:
To find the distance from the wall to the base of the ladder, we can use the Pythagorean theorem. The ladder, the ground, and the wall form a right triangle. Let's call the distance from the wall to the base of the ladder x. According to the Pythagorean theorem, the square of the ladder's length (10 feet) is equal to the sum of the squares of the distances from the base of the ladder to the wall (x) and the height of the window (8 feet).
x^2 + 8^2 = 10^2
Simplifying the equation, we get:
x^2 + 64 = 100
Subtracting 64 from both sides:
x^2 = 36
Taking the square root of both sides:
x = 6
Therefore, the distance from the wall to the base of the ladder is 6 feet.