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Regard the ladder as the hypotenuse and the distance from the wall as one leg of a right angled triangle.

Then, 262 = 102 + H2 : where H is the height reached up the wall by the ladder.

H2 = 676 - 100 = 576 : H = √576 = 24

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Q: How far up a wall does a ladder reach that is 26 feet long and 10 feet from the base of a wall?
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