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A ladder 13 meters long leans against a wall, with its base 5 meters from the wall. How high up the wall does the ladder reach?
Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \).
Let \( a = 5 \) (base), \( c = 13 \) (ladder), solve for \( b \) (height).

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