document.write( "Question 1089351: Angles x and y are both acute angles where angle x is greater than y and the sin (x degrees)= cos(y degrees). If x=3k-11 and y=2k-9, what's the value of k?
\n" ); document.write( "A)12
\n" ); document.write( "B)22
\n" ); document.write( "C)23.5
\n" ); document.write( "D)27.5
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #703705 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "It follows from the condition, that x and y are complementary angles: \r\n" );
document.write( "\r\n" );
document.write( "    x + y = 90 degrees.\r\n" );
document.write( "\r\n" );
document.write( "Substitute x = 3k-11 and y = 2k-9,  and you will get an equation for k:\r\n" );
document.write( "\r\n" );
document.write( "    (3k - 11) + (2k - 9) = 90,\r\n" );
document.write( "\r\n" );
document.write( "5k = 90 + 11 + 9  ====>  5k = 110  ====>  k =  = 22 degrees.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );