document.write( "Question 858755: I could really use some help with this one.\r
\n" ); document.write( "\n" ); document.write( "Solve the right triangle with A=60°13' and a=6.5143\r
\n" ); document.write( "\n" ); document.write( "B=
\n" ); document.write( "b=
\n" ); document.write( "c=\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #517407 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Always sketch the triangle with the letters\r\n" );
document.write( "A,B,C,a,b,c, or whatever letters are to be\r\n" );
document.write( "used, and put in the given parts:\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "The three major trig functions are\r\n" );
document.write( "\r\n" );
document.write( "sin(A) = \"opposite%2Fhypotenuse\" = \"a%2Fc\"\r\n" );
document.write( "\r\n" );
document.write( "cos(A) = \"adjacent%2Fhypotenuse\" = \"b%2Fc\"\r\n" );
document.write( "\r\n" );
document.write( "tan(A) = \"opposite%2Fadjacent\" = \"a%2Fb\"\r\n" );
document.write( "\r\n" );
document.write( "We are given \"a\", the opposite side.  So we will\r\n" );
document.write( "use only the two trig functions that contain \"a\",\r\n" );
document.write( "the opposite side.  So we will use only the sine \r\n" );
document.write( "and the tangent.  We will not use the cosine, \r\n" );
document.write( "because it does not contain the given side \"a\", \r\n" );
document.write( "the opposite.\r\n" );
document.write( "\r\n" );
document.write( "sin(A) = = \"a%2Fc\"\r\n" );
document.write( "sin(60°13') = \"6.5143%2Fc\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by c\r\n" );
document.write( "\r\n" );
document.write( "c·sin(60°13') = 6.5143\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by sin(60°13')\r\n" );
document.write( "\r\n" );
document.write( "c = \"6.5143%2Fsin%28%2260%B013%27%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "If you have a TI-84 calculator, calculate that by\r\n" );
document.write( "\r\n" );
document.write( "6.5143÷sin(60+13/60) ENTER\r\n" );
document.write( "\r\n" );
document.write( "Get c = 7.50573233.  Round the same way the given side is\r\n" );
document.write( "rounded, 4 decimal places, so\r\n" );
document.write( "\r\n" );
document.write( "c = 7.5057 \r\n" );
document.write( "\r\n" );
document.write( "[If you get -12.965603553, which is wrong, it's\r\n" );
document.write( "because you have your calculator in radian mode,\r\n" );
document.write( "so press MODE, press the down arrow key twice\r\n" );
document.write( "to go down to RADIAN, and the right arrow key \r\n" );
document.write( "once, and press ENTER to highlight. Then press\r\n" );
document.write( "2ND MODE, and do it again.]\r\n" );
document.write( "\r\n" );
document.write( "tan(A) = = \"a%2Fb\"\r\n" );
document.write( "tan(60°13') = \"6.5143%2Fb\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by b\r\n" );
document.write( "\r\n" );
document.write( "b·tan(60°13') = 6.5143\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by tan(60°13')\r\n" );
document.write( "\r\n" );
document.write( "b = \"6.5143%2Ftan%28%2260%B013%27%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "If you have a TI-84 calculator, calculate that by\r\n" );
document.write( "\r\n" );
document.write( "6.5143÷tan(60+13/60) ENTER\r\n" );
document.write( "\r\n" );
document.write( "Get b = 3.728258751.  Round the same way the given side is\r\n" );
document.write( "rounded, 4 decimal places, so\r\n" );
document.write( "\r\n" );
document.write( "b = 3.7283.\r\n" );
document.write( "\r\n" );
document.write( "You just have to find angle B.  A and B must have sum 90°,\r\n" );
document.write( "so\r\n" );
document.write( "\r\n" );
document.write( "A + B = 90°\r\n" );
document.write( "    B = 90° - 60°13'\r\n" );
document.write( "\r\n" );
document.write( "To do that write 90° as 89°60'\r\n" );
document.write( "\r\n" );
document.write( "Then subtract:\r\n" );
document.write( "\r\n" );
document.write( " 89°60'\r\n" );
document.write( "-60°13'\r\n" );
document.write( "-------\r\n" );
document.write( " 29°47'\r\n" );
document.write( "\r\n" );
document.write( "So:\r\n" );
document.write( "\r\n" );
document.write( " B=29°47'\r\n" );
document.write( " b=3.7283\r\n" );
document.write( " c=7.5057\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );