The sheds must be similar so we han have the relation:
[tex]\frac{y}{6}=\frac{156}{26}[/tex]So we can solve for y to have an expression so:
[tex]y=\frac{6\cdot156}{26}[/tex]and we can solve it so:
[tex]y=36[/tex]So the shed that is 156 inches long has a high of 36 inches