Final answer:
To find the length of the slide, we can use the Pythagorean theorem. The length of the slide is approximately 7.61 feet.
Step-by-step explanation:
To find the length of the slide, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder represents the hypotenuse, and the height and distance between the base of the slide and the ladder represent the other two sides.
Let's call the length of the slide 'x'.
Using the Pythagorean theorem, we have:
x^2 = 3^2 + 7^2
x^2 = 9 + 49
x^2 = 58
x = sqrt(58)
x ≈ 7.61
Therefore, the length of the slide is approximately 7.61 feet.