document.write( "Question 149459This question is from textbook Algebra 2
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document.write( ": Solve (triangle) ABC if C=90 degrees, B=20 degrees, and b= 10. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. \n" );
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Algebra.Com's Answer #109673 by tryin2bhelpful(6)![]() ![]() ![]() You can put this solution on YOUR website! In this equation you can use the law of sines...\r \n" ); document.write( "\n" ); document.write( "a b \n" ); document.write( "__ = __ \n" ); document.write( "SinA SinB\r \n" ); document.write( "\n" ); document.write( "you are given both angle B and Side B \n" ); document.write( "From, B=20 and C=90, you can find out what A equals by subracting it from 180\r \n" ); document.write( "\n" ); document.write( "180-20-90= 70... A=70 \n" ); document.write( "so...\r \n" ); document.write( "\n" ); document.write( "10 a Cross multiply so you get: \n" ); document.write( "__ = __ 10Sin70=Sin20a so..... \n" ); document.write( "Sin20 Sin70 10Sin70 \n" ); document.write( " _______ =a \n" ); document.write( " Sin20 \r \n" ); document.write( "\n" ); document.write( " Therefore you'll get 8.476.... or 8.5 rounded=a\r \n" ); document.write( "\n" ); document.write( "Now that you have a, you can find c with a2+b2=c2\r \n" ); document.write( "\n" ); document.write( "(8.5)2+(10)2=c2 \n" ); document.write( "172.25=c2 \n" ); document.write( " \n" ); document.write( "c=13.1 rounded\r \n" ); document.write( "\n" ); document.write( "Now you have all your angles and all of your lengths!!! :)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |