document.write( "Question 469051: To the nearest degree, find the measure of angle B in Triangle ABC given measure of Angle A=31 degrees, AC=36 and AB=35 \n" ); document.write( "

Algebra.Com's Answer #321825 by ccs2011(207) $\"\"$ $\"About$

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First use Law of Cosines to determine 3rd side BC.
\n" ); document.write( "Let x = BC
\n" ); document.write( " $\"x%5E2+=+35%5E2+%2B+36%5E2+-+2%2835%29%2836%29cos%2831%29\"$
\n" ); document.write( " $\"x+=+19\"$
\n" ); document.write( "Then use Law of Sines to determine angle B.
\n" ); document.write( " $\"sin%28B%29%2F36+=+sin%2831%29%2F19\"$
\n" ); document.write( " $\"sin%28B%29+=+.976\"$
\n" ); document.write( " $\"B+=+77.4\"$
\n" ); document.write( "Therefore angle B to nearest degree is 77 degrees. \n" ); document.write( "

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