Question

A ladder rests against the top of a wall. The head of a person 6 feet tall just touches the ladder the person is 9' from the wall and 6' from the foot of the ladder. find the height of the wall​

Answer 1

Answer:

15 ft

Step-by-step explanation:

Let the height of the wall be represented bad x

Applying the theorem of similarity, we would have the following equation:

$\frac{x}{6} = \frac{9 + 6}{6}$

$\frac{x}{6} = \frac{15}{6}$

$\frac{x}{6} = \frac{5}{2}$

Cross multiply

$x*2 = 5*6$

2x = 30

Divide both sides by 2

x = 15

Thus, the height of the wall = 15 ft