Okay, to solve this, we need to work backwards.
the formula for the area of a trapezoid is ...
area = [tex]\frac{a + b}{2}[/tex] × h
a = measure of base 1
b = measure of base 2
Let's plug everything in and then solve for h!
360 = [tex]\frac{11 + 13}{2}[/tex] × h
360 = [tex]\frac{24}{2}[/tex] × h
360 = 12 × h
360 / 12 = h
30 = h
Now we have our answer!
the height of the trapezoid is 30 feet!
I hope I helped :)