document.write( "Question 110946: I have the following homework problem I can not seem to fit into one of the provided answers:\r
\n" ); document.write( "\n" ); document.write( "A 13-ft ladder is leaning against a building. The bottom of the ladder is 5 ft from the building. How high is the top of the ladder?\r
\n" ); document.write( "\n" ); document.write( "sq rt of 18ft
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\n" ); document.write( "12 ft
\n" ); document.write( "sq rt of 194ft
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Algebra.Com's Answer #80924 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
We basically have this triangle set up:\r
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\n" ); document.write( "\n" ); document.write( "Since we can see that the triangle has legs of x and 5 with a hypotenuse of 13, we can use Pythagoreans theorem to find the unknown side.\r
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\n" ); document.write( "\n" ); document.write( "Pythagoreans theorem:\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\" where a and b are the legs of the triangle and c is the hypotenuse\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B5%5E2=13%5E2\" Plug in a=x, b=5, and c=13. Now lets solve for x\r
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\n" ); document.write( "\n" ); document.write( "\"+x++%5E+2+%2B+2+5+=+1+6+9\" Square each individual term\r
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\n" ); document.write( "\n" ); document.write( "\"+x++%5E+2+=+1+6+9+-+2+5\" Subtract 25 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"+x++%5E+2+=+1+4+4\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"s+q+r+t+%28++x++%5E+2+%29+=+s+q+r+t+%28+1+4+4+%29\" Take the square root of both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x=12\" Simplify the square root\r
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\n" ); document.write( "\n" ); document.write( "So the ladder touches the 12 ft mark on the building
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