Question

Stefan is building a slide for his kids. If the ladder is 7 feet tall and he wants the bottom of the slide to be 5 feet from the ladder, how long does the slide need to be? If necessary, round to the nearest tenth.

Answer 1

To find the length of the slide, you can use the Pythagorean Theorem because you have a right triangle formed by the ladder, the slide, and the ground. The ladder is the hypotenuse, and the distance from the ladder to the base of the slide and the height of the ladder form the other two sides of the right triangle.

Let's call the length of the slide "s," the height of the ladder "h" (which is 7 feet), and the distance from the ladder to the base of the slide "d" (which is 5 feet).

According to the Pythagorean Theorem:

s² = h² + d²

Plug in the values:

s² = (7 feet)² + (5 feet)²

s² = 49 + 25

s² = 74

Now, take the square root of both sides to find "s":

s ≈ √74 ≈ 8.60 feet (rounded to the nearest tenth)

So, the slide needs to be approximately 8.6 feet long to reach from the ladder to 5 feet away from it.

Explanation:

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