document.write( "Question 838173: The hypotenuse of a 30 degree - 60 degree- 90 degree triangle measures 20 ft. what is the length of the other 2 sides? \n" ); document.write( "

Algebra.Com's Answer #505425 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = length, in feet, of the side opposite the $\"30%5Eo\"$ angle
\n" ); document.write( " $\"sin%2830%5Eo%29=opposite_side%2Fhypotenuse\"$
\n" ); document.write( " $\"sin%2830%5Eo%29=0.5\"$
\n" ); document.write( " $\"hypotenuse=20ft\"$
\n" ); document.write( "So, $\"0.5=x%2F20\"$ --> $\"x=0.5%2A20\"$ --> $\"x=10\"$
\n" ); document.write( " $\"y\"$ = length, in feet, of the side adjacent to the $\"30%5Eo\"$ angle
\n" ); document.write( " $\"cos%2830%5Eo%29=adjacent_side%2Fhypotenuse\"$
\n" ); document.write( " $\"cos%2830%5Eo%29=sqrt%283%29%2F2=approximately\"$ $\"0.866\"$
\n" ); document.write( "So, $\"sqrt3%29%2F2=y%2F20\"$ --> $\"y=20sqrt%283%29%2F2\"$ --> $\"y=10sqrt%283%29\"$
\n" ); document.write( " $\"y=approximately\"$ $\"17.32\"$ \n" ); document.write( "

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