You’re on a residential construction team doing roofing. The pitch of a roof is 13 rise over run. Find the rise if the horizontal run of the roof is 15 feet 34 inches.

Respuesta :

Answer:

[tex]231\ ft\ 10\ in[/tex]

Step-by-step explanation:

Let

y------> the rise

x------> the run

In this problem we have

[tex]x=15\ ft\ 34\ in[/tex]

step 1

Convert feet to inches

we know that

[tex]1\ feet=12\ inches[/tex]

so

[tex]15\ ft\ 34\ in=15*12+34=214\ in[/tex]

step 2

Find the rise

[tex]13=\frac{y}{x}[/tex]

substitute the value of x and solve for y

[tex]13=\frac{y}{214}[/tex]

[tex]y=13*214=2,782\ in[/tex]

Convert to feet

[tex]2,782\ in=2,782/12=231.83\ ft=231\ ft\ 10\ in[/tex]

Answer:

5 feet 1/4 inches

Step-by-step explanation:

The pitch of the roof is the ratio of the rise to run of the rafters