Question

most ramps are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance. (a) what is the value of the slope of a ramp for the handicapped? select the correct choice below and fill in any answer boxes within your choice. (simplify your answer.) m = 1/12 (b) if the builder constructs a new building in which the ramp has a horizontal distance of 96 feet, what is the maximum height of the doorway above the level of the parking lot where the ramp begins? (type an integer or decimal rounded to one decimal place.) the slope is undefined

Explanation:

Step1: Recall slope - formula

The slope formula for a ramp is $m=\frac{\text{vertical rise}}{\text{horizontal distance}}$. We are given that the maximum slope $m = \frac{1}{12}$ and the horizontal distance $x = 96$ feet.

Step2: Solve for vertical rise

We know $m=\frac{y}{x}$, where $y$ is the vertical rise and $x$ is the horizontal distance. Rearranging the formula for $y$ gives $y = m\times x$. Substitute $m=\frac{1}{12}$ and $x = 96$ into the formula: $y=\frac{1}{12}\times96$.

Step3: Calculate the value of $y$

$\frac{1}{12}\times96=\frac{96}{12}=8$ feet.

Answer:

8