document.write( "Question 977350: A triangle has sides a = 6, c = 8, and angle B = 125° Determine angle A. \n" ); document.write( "
Algebra.Com's Answer #598895 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "First, you should find out what
\n" ); document.write( "b =.
\n" ); document.write( "Using Cosine Rule
\n" ); document.write( "b^2 = a^2 + c^2 - 2ac CosB
\n" ); document.write( "b^2 = 36 + 64 -(2 * 6 * 8 * cos 125)
\n" ); document.write( "b^2 = 100 - (-55.0633)
\n" ); document.write( "b^2 = 155.0633
\n" ); document.write( "b = square root of 155.0633
\n" ); document.write( "b = 12.5 (1 decimal place)
\n" ); document.write( "Now using Sine Rule
\n" ); document.write( "a/SinA = b/SinB
\n" ); document.write( "6/SinA = 12.5/sin125
\n" ); document.write( "Cross multiply
\n" ); document.write( "6 * sin125 = 12.5sinA
\n" ); document.write( "SinA = 6*sin125/12.5
\n" ); document.write( "SinA = 0.3932
\n" ); document.write( "Sin^-1A = 23.2 degrees (i decimal place)
\n" ); document.write( "Hope this helps:-)
\n" ); document.write( "
\n" );