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A rescue and ?re squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach?
a. 8 ft
b. 10 ft
c. 12 ft
d. 14 ft
c. The ladder creates a right triangle with the building. The length of the ladder is the hypotenuse and the distance from the base is a leg. The question asks you to answer for the remaining leg of the triangle, or how far up the building the ladder will go. Using the Pythagorean theorem: 9^{2} + b^{2} = 15^{2}; 81 + b^{2} = 225; b^{2} = 225 - 81; b^{2} = 144; b = 12.
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