A.
Let y represent the length of the shed and x the height;
Then we can represent it with the equation;
[tex]\begin{gathered} y\propto x \\ y=kx \end{gathered}[/tex]To get k, at y=26, x =6;
Substituting the values to the equation above;
[tex]\begin{gathered} y=kx \\ 26=k(6) \\ k=\frac{26}{6} \\ k=\frac{13}{3} \end{gathered}[/tex]Therefore, the equation will be;
[tex]y=\frac{13}{3}x[/tex]B.
For a shed that is 156 inches long, the height will be;
y=156
[tex]\begin{gathered} y=156=\frac{13}{3}x \\ x=156\times\frac{3}{13} \\ x=36\text{ inches} \end{gathered}[/tex]Therefore, the shed that long is 36 inches high.
[tex]36\text{ inches}[/tex]