Question

Chapter 13: Slope of a Line > Section Exercises 13.2 > Exercise 25Carpenters refer to the slope of a roof as the pitch of the roof. Find the pitch of the roof.4 ft12 ftThe pach of the roof is

Answer 1

Given the lengths:

4 ft and 12 ft

Let's solve for the slope.

Here, we are see the figure forms a right angle with the slope as the hypotenuse.

To find the pitch apply Pythagorean Theorem:

$\begin{gathered} c=\sqrt{4^2+12^2} \\ \\ c=\sqrt{16+144} \\ \\ c=\sqrt{160} \\ \\ c=12.6\text{ ft} \end{gathered}$

Therefore, the pitch of the roof is 12.6 ft.

ANSWER:

12.6 ft