document.write( "Question 221294: 5.On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 32 m long and the shadow is 24 m, how tall is the building? \n" ); document.write( "

Algebra.Com's Answer #166022 by sofiyac(983) $\"\"$ $\"About$

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ok, so the right triangle has three sides, we know two of them, hypotenuse and length. Since the triangle is a right triangle we can use a pathagorean theorem
\n" ); document.write( " $\"a%5E2=b%5E2%2Bc%5E2\"$ a=32 and b=24, so we just have to find c, lets plug in the values
\n" ); document.write( " $\"32%5E2=24%5E2%2Bc%5E2\"$
\n" ); document.write( " $\"1024=576%2Bc%5E2\"$ now lets move 576 to the other side by subtracting 576 from both sides
\n" ); document.write( " $\"1024-576=c%5E2\"$
\n" ); document.write( " $\"448=c%5E2\"$ now lets take square root of both sides to find c
\n" ); document.write( " $\"sqrt%28448%29=sqrt%28c%5E2%29\"$
\n" ); document.write( "so c = 21.166 so we can round it and say that c = 21.2 meters\r
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