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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​

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 ladde class=

Respuesta :

akposevictor

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:

[tex] \frac{x}{6} = \frac{9 + 6}{6} [/tex]

[tex] \frac{x}{6} = \frac{15}{6} [/tex]

[tex] \frac{x}{6} = \frac{5}{2} [/tex]

Cross multiply

[tex] x*2 = 5*6 [/tex]

2x = 30

Divide both sides by 2

x = 15

Thus, the height of the wall = 15 ft

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