document.write( "Question 992778: Two side of a triangle are 50m and 60m long. The angle included between these sides are 30 degrees, what is the interior angle opposite the longest side? \n" ); document.write( "
Algebra.Com's Answer #612274 by psbhowmick(878)\"\" \"About 
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Let us use the cosine rule first.\r
\n" ); document.write( "\n" ); document.write( "a = 50
\n" ); document.write( "b = 60
\n" ); document.write( "C = 30 degrees\r
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\n" ); document.write( "\n" ); document.write( "\"c%5E2+=+a%5E2+%2B+b%5E2+-+2abcos%28C%29\"
\n" ); document.write( "\"c%5E2+=+50%5E2+%2B+60%5E2+-+2%2A50%2A60%2Acos%2830%29+=+903.8476\"
\n" ); document.write( "\"c+=+30.06\"\r
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\n" ); document.write( "\n" ); document.write( "So largest side is b = 60 m.\r
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\n" ); document.write( "\n" ); document.write( "Using Sine rule
\n" ); document.write( "\"c%2Fsin%28C%29+=+b%2Fsin%28B%29\"
\n" ); document.write( "\"sin%28B%29+=+%28b%2Asin%28C%29%29%2Fc\"
\n" ); document.write( "\"sin%28B%29+=+%2860%2Asin%2830%29%29%2F30.06\"
\n" ); document.write( "B = 86.3 degree
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