Chapter 8.2, Problem 14PSB

To determine

To calculate:The width of the house if height of the roof and slope is given.

Answer to Problem 14PSB

The width of the house is 38.4 ft

Explanation of Solution

Given information Slope of roof is: $\frac{5}{12}$

Height of the roof is: 8 ft

Formula used Compare the slope of roof with given slope of roof

Calculation Let us assume 2x be the width of roof

Then slope of roof will be = $\frac{8}{x}$

And given slope of roof = $\frac{5}{12}$

  $\begin{array}{l}\therefore \frac{8}{x}=\frac{5}{12}\\ \Rightarrow x=\frac{12}{5}\times 8=19.2ft\end{array}$

Hence, width of the house = 2x = $2\times 19.2=38.4\text{ ft}$