A 12ft. tall ladder is leaning against a building. If the bottom of the ladder is 3ft. from the base of the building how high up the side of the building does the ladder reach? Put your answer in the box. Round your answer to the nearest whole number.

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Step-by-step explanation:

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Step-by-step explanation: The Pythagorean theorem states that, in a right triangle, the length of the hypotenuse squared equals the sum of the squares of the other two sides or legs of the triangle.  Algebraically, a2+b2=c2.  In your example, the length of the ladder would be the hypotenuse and the distance from the wall would be one of the legs.  So substitute these values into the equation to get: 32+b2=122 or 9+b2=144 and then subtract 9 from both sides to get b2=135.  Therefore b=√135≈11.62.  If your problem requires an exact answer in its most simplified form, please note that √135=3√15.  Hope this helps you

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