document.write( "Question 411721: if a gate is 24 inches wide by 46 inches high what are the angles at the angle brace from corner to corner \n" ); document.write( "
Algebra.Com's Answer #289336 by MathLover1(20850)\"\" \"About 
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given:\r
\n" ); document.write( "\n" ); document.write( "\"a=24in\"
\n" ); document.write( "\"b=46in\"\r
\n" ); document.write( "\n" ); document.write( "first find hypothenuse \"c\"... use Pythagorean Theorem\r
\n" ); document.write( "\n" ); document.write( "\"c=sqrt%2824%5E2%2B46%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c=sqrt%28576%2B2116%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c=sqrt%282692%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c=51.9\"\r
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\n" ); document.write( "\n" ); document.write( "use Trigonometric Identities to find angles:\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28A%29+=+a+%2F+c\" \r
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\n" ); document.write( "\n" ); document.write( "\"sin%28A%29+=+24+%2F+51.9+\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28A%29+=+0.46\"\r
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\n" ); document.write( "\n" ); document.write( "\"A+=+0.48\"radians\r
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\n" ); document.write( "\n" ); document.write( "\"A+=+27.39\" degrees\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28A%29%2Fa+=+sin%28B%29%2Fb\".....solve for \"sin%28B%29\"\r
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\n" ); document.write( "\n" ); document.write( "\".46%2F24+=+sin%28B%29%2F46\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28.46%2F24%2946+=+sin%28B%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"0.8817+=+sin%28B%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"B=1.0758622\" radians\r
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\n" ); document.write( "\n" ); document.write( "\"B=61.642365\" degrees\r
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