Answer:
8.55 ft
Step-by-step explanation:
These two triangles are similar, which means that the ratio of their corresponding sides will be the same.
The height of the 4-foot ladder and the height of the 9-foot ladder correspond, while the length of the 4-foot ladder corresponds to the length of the 9-foot ladder. So, we can write the ratio:
[tex]\frac{3.8}{x} =\frac{4}{9}[/tex], where x is the height of the 9-foot ladder.
Cross-multiply:
4 * x = 3.8 * 9
4x = 34.2
Divide by 4:
4x/4 = 34.2/4
x = 8.55
Thus, the height of the 9-foot ladder is 8.55 feet.
Hope this helps!
