Kenny is building a slide for his kids. The ladder is 9 feet tall and the slide is 15 feet long.
What is the distance between the ladder and the bottom of the slide?
To find the distance between the ladder and the bottom of the slide, we can use the Pythagorean theorem.
The ladder is the hypotenuse of a right triangle, and the height of the ladder is one of the legs. The other leg represents the distance between the ladder and the bottom of the slide.
Using the Pythagorean theorem:
(height of ladder)^2 + (distance between ladder and bottom of slide)^2 = (length of slide)^2
9^2 + (distance between ladder and bottom of slide)^2 = 15^2
81 + (distance between ladder and bottom of slide)^2 = 225
(distance between ladder and bottom of slide)^2 = 225 - 81
(distance between ladder and bottom of slide)^2 = 144
Taking the square root of both sides, we get:
distance between ladder and bottom of slide = √144
distance between ladder and bottom of slide = 12 feet
Therefore, the distance between the ladder and the bottom of the slide is 12 feet.