Answer:
20 ft
Step-by-step explanation:
The two triangles in this problem are proportional to each other: so, the ratio between their height and the length of their base is equal for the two triangles.
Therefore, we can apply the rule of three, and we can write:
[tex]\frac{H}{B}=\frac{h}{b}[/tex]
where:
H = 25 ft is the height of the large triangle
B = 10 ft is the length of the base of the large triangle
h is the height of the small triangle
B = 8 ft is the length of the base of the small triangle
And solving for h, we find:
[tex]h=\frac{Hb}{B}=\frac{(25)(8)}{10}=20 ft[/tex]
