Answer: the height is 4 feet
Explanation:
The formula for determining the area of cross section of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 18 feet
b = 8 feet
If It has an area of 52 ft.² , then
52 = 1/2(18 + 8)h
Cross multiplying by 2, it becomes
52 × 2 = (18 + 8)h
104 = 26h
h = 104/26 = 4 feet