Respuesta :

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