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

15 ft

Explanation:

Let the height of the wall be represented bad x

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

`(x)/(6) = (9 + 6)/(6)`

`(x)/(6) = (15)/(6)`

`(x)/(6) = (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