Question

an architect is designing a wheelchair - accessible ramp for the front entrance of a new building. the vertical height from the ground to the entrance is 3 feet, and the ramp must extend 36 feet horizontally from the base to meet accessibility guidelines. determine the slope of the ramp. write your answer as a fraction in its reduced form.
slope = \frac{rise}{run}=\frac{\square}{\square}\div\frac{3}{3}=\frac{\square}{\square}

Explanation:

Step1: Identify rise and run

The vertical height (rise) is 3 feet and the horizontal distance (run) is 36 feet. So slope = $\frac{\text{rise}}{\text{run}}=\frac{3}{36}$.

Step2: Simplify the fraction

Divide both numerator and denominator by 3. $\frac{3\div3}{36\div3}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$