A ladder is kept against a wall. The top of the ladder touches the wall at a height of from the ground. The base of the ladder is away from the wall on the ground. Find the length of the ladder.

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Solution & Step-by-step Explanation
According to Pythagoras' theorem, the relationship between the height of the wall, the distance from the base, and the length of the ladder is:
Given:
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*
Substituting the values:
Given:
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*
Substituting the values: