Answer:
The width of the roof is 12
Step-by-step explanation:
Divide the figure as shown in the attachment.
Recall that slope is rise over run.
Then the slope of the roof in terms of x is
[tex] \frac{8}{x} [/tex]
But we were given in the question that the slope is 2/3.
This implies that:
[tex] \frac{8}{x} = \frac{2}{3} [/tex]
Cross multiply to get:
[tex]2x = 3 \times 8[/tex]
[tex]2x = 24[/tex]
[tex]x = 12[/tex]
