Question

The ladder of a straight slide in a playground is 8 feet high. The distance along the ground from the ladder to the foot of the slide is 10 feet. Approximate the slope of the slide.

Answer 1

The slope of a playground slide with a ladder height of 8 feet and a horizontal distance of 10 feet to the foot of the slide is approximately 0.8.

Step-by-step explanation:

The student has asked to approximate the slope of a slide given an 8 feet height and a distance along the ground to the foot of the slide of 10 feet.

The slope can be calculated using the rise over run formula, which in this case is the height of the ladder over the horizontal distance from the ladder to the foot of the slide.

To calculate the slope, simply divide the height of the ladder by the horizontal distance:

• Slope = height / horizontal distance
• Slope = 8 feet / 10 feet
• Slope = 0.8

Therefore, the approximate slope of the slide is 0.8.

Answer 2

The slope of the slide, calculated as the ratio of the height of the ladder (8 feet) to the distance along the ground (10 feet), is 0.8.

Step-by-step explanation:

To approximate the slope of the slide, we need to understand slope as the ratio of the rise (the vertical change) to the run (the horizontal change) along a straight line. Since the ladder is 8 feet high (rise) and the distance along the ground from the ladder to the foot of the slide is 10 feet (run), we can calculate the slope by dividing the rise by the run.

Slope = Rise/Run = 8 feet / 10 feet

When we simplify this, we get a slope of 0.8. Therefore, the approximate slope of the slide is 0.8.