Given:
Area of the triangle = 240 ft^2
Base=25 ft
To determine the height of the triangle, we use the formula:
[tex]A=\frac{bh}{2}[/tex]where:
A=Area = 240 ft^2
b=base=25 ft
h=height
We plug in what we know:
[tex]\begin{gathered} A=\frac{bh}{2} \\ 240=\frac{25(h)}{2} \\ Simplify\text{ and rerrange} \\ 240(2)=25h \\ h=\frac{240(2)}{25} \\ Calculate \\ h=19.2\text{ ft} \end{gathered}[/tex]Therefore, the height is: 19.2 feet