Answer:
The height is [tex]h=8\ in[/tex]
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}[b1+b2]h[/tex]
we have
[tex]b1=11\ in[/tex]
[tex]b2=27\ in[/tex]
[tex]A=152\ in^{2}[/tex]
substitute in the formula and solve for h
[tex]152=\frac{1}{2}[11+27]h[/tex]
[tex]304=[38]h[/tex]
[tex]h=304/38[/tex]
[tex]h=8\ in[/tex]
