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Vikki [24]
2 years ago
14

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 wal

l and 6' from the foot of the ladder. find the height of the wall​

Mathematics
1 answer:
GalinKa [24]2 years ago
7 0

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

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