Question 3 The Americans with Disabilities Act states that ramps must have an angle less than equal to 4.8 degrees. Remember, a 4.8 degree angle in a right triangle has a \( 1: 12 \) ratio for the legs. Select all designs of a ramp that meet the Americans with Disabilities Act requirements. \[ \begin{array}{ll}\square & \text { A) Right triangle with legs } 3 \text { meter and } 33 \text { meter. } \\ \square & \text { B) Right triangle with legs triangle with legs } 12 \text { meter and } 12 \text { meters. } \\ \square & \text { D) Right triangle with legs } 12 \text { feet and } 150 \text { feet. } \\ \square & \text { E) Right triangle with legs } 24 \text { units and } 240 \text { units. } \\ \square\end{array} \]

To determine which ramp designs comply with the Americans with Disabilities Act (ADA) requirements, we need to evaluate the slope of each ramp. According to the ADA, ramps must have an angle **less than or equal to 4.8 degrees**, which corresponds to a **1:12 ratio** (rise:run). Here's a breakdown of each option: 1. **Option A:** - **Legs:** 3 meters (rise) and 33 meters (run) - **Ratio:** \( \frac{3}{33} = \frac{1}{11} \) - **Analysis:** \( \frac{1}{11} \) is **steeper** than \( \frac{1}{12} \). **Does not comply.** 2. **Option B:** - **Legs:** 12 meters (rise) and 12 meters (run) - **Ratio:** \( \frac{12}{12} = 1 \) - **Analysis:** A 1:1 ratio is **much steeper** than the required 1:12. **Does not comply.** 3. **Option D:** - **Legs:** 12 feet (rise) and 150 feet (run) - **Ratio:** \( \frac{12}{150} = \frac{1}{12.5} \) - **Analysis:** \( \frac{1}{12.5} \) is **less steep** than \( \frac{1}{12} \). **Complies.** 4. **Option E:** - **Legs:** 24 units (rise) and 240 units (run) - **Ratio:** \( \frac{24}{240} = \frac{1}{10} \) - **Analysis:** \( \frac{1}{10} \) is **steeper** than \( \frac{1}{12} \). **Does not comply.** **Conclusion:** Only **Option D** meets the ADA requirements for ramp slope. **Answer:** Only design D meets the Americans with Disabilities Act requirements.