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a 10 foot ladder rests against the side of a house. if the bottem of the ladder is 5 ft from the base of the house on level ground about how many feet above the ground level does the top of the ladder touch the side of the house?

Mathematics
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You know that the ladder, ground and side of the house will form a triangle. You know the length of two of the sides, and you can find the last side length by using pythagorean's theorem. \[10^{2}=5^{2}+x ^{2}\] Now just solve for x and that will be the height of the ladder on the side of the house.

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