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If I have a right triangle where the inside angle is 22 degrees and one side is 8 feet long, what are the dimensions of the other two sides??? This has a real world application!!
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\n" ); document.write( "You did not specify whether the 8 ft side was opposite or adjacent to the 22 deg angle, so you have two different solutions.
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\n" ); document.write( "side opposite 22 deg angle=8 ft
\n" ); document.write( "other acute angle=90-22=68 deg
\n" ); document.write( "let x=other leg opposite the 68 deg angle
\n" ); document.write( "let h=hypotenuse (third side)
\n" ); document.write( "sin 22/8=sin 68/x
\n" ); document.write( "x=8 sin 68/sin 22=19.8
\n" ); document.write( "8/h=sin 22
\n" ); document.write( "h=8/sin 22=21.36
\n" ); document.write( "ans: sides are 8 ft,19.8 ft and 21.36 ft
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\n" ); document.write( "side opposite 68 deg angle=8 ft
\n" ); document.write( "other acute angle=90-68=22 deg
\n" ); document.write( "let x=other leg opposite the 22 deg angle
\n" ); document.write( "let h=hypotenuse (third side)
\n" ); document.write( "sin 22/x=sin 68/8
\n" ); document.write( "x=8 sin 22/sin 68=3.23
\n" ); document.write( "8/h=sin 68
\n" ); document.write( "h=8/sin68=8.62
\n" ); document.write( "ans: sides are 8 ft,3.23 ft and 8.62 ft
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