Question

1. the roof of a tool shed on each side has a pitch of 2:5. if the shed is 7 feet wide, what is the rise of the roof?

Explanation:

Step1: Define pitch ratio

Pitch is the ratio of rise to run. Given pitch = 2:5 or $\frac{2}{5}$.

Step2: Calculate run

The shed is 7 feet wide. The run of each - side of the roof is half of the width, so run = $\frac{7}{2}$ feet.

Step3: Set up proportion

Let the rise be $x$. We have the proportion $\frac{x}{\frac{7}{2}}=\frac{2}{5}$.

Step4: Solve for rise

Cross - multiply: $5x = 2\times\frac{7}{2}$.
$5x=7$.
Then $x=\frac{7}{5}=1.4$ feet.

Answer:

1.4 feet