Answer:
1. The problem involves finding the length of a slide about a ladder. The slide and the ladder form a right triangle, with the ground and the slide as the hypotenuse.
2. The top of the ladder is 10 feet above the ground, and the bottom of the ladder is 12 feet from the bottom of the slide.
3. In order to solve this problem, a diagram can be used to represent the scenario.
4. Label the bottom of the slide as point A, the bottom of the ladder as point B, and the top of the ladder as point C.
5. Draw a straight line from point A to point B and label it 12 feet.
6. Draw a straight line from point B to point C and label it 10 feet.
7. Draw a straight line from point A to point C, which is the hypotenuse of the triangle.
8. Use the Pythagorean Theorem to find the length of the hypotenuse.
9. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of the triangle and c is the hypotenuse.
10. In this problem, a is 12 feet, and b is 10 feet. Plugging these values into the equation, we get 122 + 102 = c2. Solving for c, we get that the length of the slide is 14.04 feet to the nearest tenth of a foot.
Explanation: