Question

The pitch of the roof is its slope. find the pitch.

Answer 1

Let's draw a rough drawing of what's needed to be solved.

x is the pitch of the roof and we need to solve for x.

This is a right triangle so we can use the Pythgaorean Theorem to solve it.

It states that in a right triangle, the Sum of the Squares of its legs is equal to the square of its Hypotenuse.

The hypotenuse is x

The legs are 16 and 14

Thus, we can write:

`\begin{gathered} x^2=14^2+16^2 \\ x^2=452 \\ x=\sqrt[]{452} \\ x=\sqrt[]{4}\sqrt[]{113} \\ x=2\sqrt[]{113} \end{gathered}`