Question

most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 7 feet for every 84 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. a. m = 1/12 (simplify your answer.) b. the slope is undefined. (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.) feet

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{\text{vertical change}}{\text{horizontal change}}$. Given $m = \frac{1}{12}$, and horizontal change $x = 96$ feet.

Step2: Solve for vertical change

We know $m=\frac{y}{x}$, so $y=m\times x$. Substitute $m=\frac{1}{12}$ and $x = 96$ into the formula: $y=\frac{1}{12}\times96$.
$y = 8$

Answer:

8