Question

what is the slope of a 6 in 10 roof? how much does the roof rise in 15 horizontal feet? the slope of a 6 in 10 roof is about. (type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Define slope formula

The slope of a roof is defined as the ratio of the vertical rise to the horizontal run. A 6 - in - 10 roof means for every 10 horizontal units, there is a 6 vertical unit rise. So the slope $m=\frac{6}{10}=0.6$.

Step2: Calculate rise for 15 horizontal feet

We know that the slope $m$ is constant. Let the rise be $y$ when the run $x = 15$ feet. Since $m=\frac{y}{x}$ and $m = 0.6$, we can substitute $x = 15$ into the formula $y=mx$. Then $y=0.6\times15 = 9$.

Answer:

The slope of a 6 - in - 10 roof is 0.6. The roof rises 9 horizontal feet in 15 horizontal feet.