Answer:
6 and 6 equal 12 has nothing to do with the persons height
The height of the wall is 15 feet.
Given information:
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 feet from the wall and 6 feet from the foot of the ladder.
See the attached image.
Now, the wall and the person will be vertically standing and hence will be parallel.
So, the triangles ABC and CDE will be similar. The ratio of their sides will also be equal by the Thales theorem.
So, The height of the wall can be calculated as,
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EC}\\\dfrac{AB}{6}=\dfrac{9+6}{6}\\AB=15[/tex]
Therefore, the height of the wall is 15 feet.
For more details, refer to the link:
https://brainly.com/question/25882965
