Answer:
The height of the trapezoid is [tex]8.3\ ft[/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]
In this problem we have
[tex]A=70.55\ ft^{2}[/tex]
[tex]b1=11.4\ ft[/tex]
[tex]b2=5.6\ ft[/tex]
substitute and solve for h
[tex]70.55=\frac{1}{2}(11.4+5.6)h[/tex]
[tex]141.1=(17)h[/tex]
[tex]h=141.1/(17)=8.3\ ft[/tex]
