Question

1. the pitch of a roof on a lean - to that dianna is building is 2:5. if the lean - to touches the ground 4.8 m from the base of the building, how high up the building does it reach?

Explanation:

Step1: Set up the proportion

The pitch of a roof is the ratio of the rise (height) to the run (horizontal distance). Given the pitch is \(2:5\), let the height be \(h\) and the run is \(4.8\) m. So we have the proportion \(\frac{h}{4.8}=\frac{2}{5}\).

Step2: Solve the proportion for \(h\)

Cross - multiply: \(5h = 2\times4.8\). Then \(5h=9.6\). Divide both sides by \(5\): \(h=\frac{9.6}{5}\).

Answer:

\(h = 1.92\) m