Question

Kenji just went down the slide at the playground. He walks 5 feet to get from the end of the slide back to the ladder. Then he climbs 8 feet to the top of the slide again. How long is the slide? If necessary, round to the nearest tenth.

Answer 1

Answer: Let's call the length of the slide "x". From the problem, we know that Kenji walks 5 feet after he slides down and climbs 8 feet to get to the top of the slide again. This means that the total vertical distance he traveled (height of the slide) is equal to 5 + 8 = 13 feet.

Using the Pythagorean theorem, we can find the length of the slide:

x^2 = 13^2 + h^2

where h is the height of the slide.

We know that h = 13 feet, so we can substitute that into the equation:

x^2 = 13^2 + 13^2

x^2 = 338

x ≈ 18.4 feet

Therefore, the length of the slide is approximately 18.4 feet. Rounded to the nearest tenth, this is 18.4 feet.

Explanation: