By law, the maximum slope of a wheel chair is 1/12 .A ramp is designed that is 4 feet high and has a horizontal length of 50 feet .Does this ramp meet the law? Explain.What could be adjusted on an unacceptable ramp so that it meets the law?

To determine whether the ramp meets the legal requirement, let's first calculate the slope of the ramp and compare it to the maximum allowable slope of \( \frac{1}{12} \).

### Step 1: Calculate the slope of the ramp
The slope of the ramp is calculated as the "rise over run," or the ratio of the vertical height (rise) to the horizontal length (run).

Given:
- **Rise** = 4 feet
- **Run** = 50 feet

The slope \( m \) is:
\[
m = \frac{\text{rise}}{\text{run}} = \frac{4}{50} = 0.08
\]

### Step 2: Compare the slope with the legal limit
The legal limit for the slope is \( \frac{1}{12} \), which is approximately:
\[
\frac{1}{12} \approx 0.0833
\]

Now, compare the calculated slope of the ramp \( (0.08) \) with the maximum legal slope \( (0.0833) \). Since:
\[
0.08 < 0.0833
\]
The slope of the ramp is less than the maximum allowable slope. Therefore, **the ramp meets the legal requirement**.

### Step 3: What to adjust if the ramp didn't meet the requirement?
If the slope had been too steep (i.e., greater than \( \frac{1}{12} \)), you could adjust either:
1. **Increase the horizontal length (run):** This would decrease the slope by stretching the ramp out.
2. **Decrease the vertical height (rise):** This would reduce the slope by lowering the ramp's elevation.

By modifying either the length or height, the slope can be brought within legal limits.

Would you like more details or have any questions?

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Here are five related questions:
1. How do you convert slope into percentage form, and what does it mean in this context?
2. What other factors, besides slope, could affect the accessibility of a ramp?
3. If a ramp had a slope of \( \frac{1}{10} \), how much would you need to extend the horizontal length to meet the legal requirement?
4. What are the implications of building a ramp that exceeds the maximum slope for wheelchair users?
5. How would you calculate the total length of the ramp, including both vertical and horizontal components?

**Tip:** A slope ratio like \( \frac{1}{12} \) means that for every unit of height, there are 12 units of horizontal distance, ensuring a gentle incline.

By law, the maximum slope of a wheelchair ramp is 1/12. A ramp is designed that is 4 feet high and has a horizontal length of 50 feet. Does this ramp meet the law? Explain. What could be adjusted on an unacceptable ramp so that it meets the law?

Learn how to calculate whether a ramp with a 4-foot height and 50-foot horizontal length meets the maximum allowable slope for wheelchair accessibility (1/12). This step-by-step explanation covers slope calculations, comparison with legal limits, and adjustments to make an unacceptable ramp compliant. Suitable for students in Grades 6-8.

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