What is the slope of a roof with a 12-inch run and an 18-inch rise?

To determine the slope of a roof, it’s important to understand the relationship between the rise and run of the roof. The slope is often expressed as a ratio of the rise to the run. In this case, the roof has a rise of 18 inches and a run of 12 inches.

To find the slope, you can use the formula:

[

\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{18 \text{ inches}}{12 \text{ inches}}

]

When calculating this fraction, it simplifies to:

[

\frac{18}{12} = \frac{3}{2}

]

This means for every 3 inches of vertical rise, there is a corresponding 2 inches of horizontal run, resulting in a slope of 3/2. This indicates a steep roof where the rise is greater than the run, a common characteristic of certain roof designs.

Having confirmed that the calculation leads to a slope of 3/2, it's clear that this option accurately represents the relationship between the rise and run of the roof in question.