document.write( "Question 1015762:  In Triangle GHI, h=8, i=12 and M∠G = 96 degrees. Find M∠I to the nearest tenth. 
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| Algebra.Com's Answer #632129 by Boreal(15235)     You can put this solution on YOUR website! Need to draw it. \n" ); document.write( "Law of Cosines \n" ); document.write( "g^2=h^2+i^2-2hi cos G \n" ); document.write( "g^2=64+144-2*8*12*(-.1045) \n" ); document.write( "without rounding, making sure the last term will be positive, g^2=228.064 and g=15.1018 \n" ); document.write( "============== \n" ); document.write( "Now use that for angle I. \n" ); document.write( "i^2=g^2+h^2-2gh cos I \n" ); document.write( "144=228.064+64-2(15.1018)(8)(cos I) \n" ); document.write( "144=292.064-2(15.1018)(8)(cos I) \n" ); document.write( "-148.064/-241.6288=0.61277 \n" ); document.write( "arc cos (0.61277)=52.2 degrees. ANSWER \n" ); document.write( "================ \n" ); document.write( "Check doing third angle \n" ); document.write( "h^2=g^2+i^2-2gicos H \n" ); document.write( "64=228.064+144-2(15.1018)(12)cos H \n" ); document.write( "-308.064=-362.4432 cos H \n" ); document.write( "angle H is 31.8 degrees (arc cos of 0.8500) \n" ); document.write( "These add up to 180 degrees \n" ); document.write( " \n" ); document.write( " |