document.write( "Question 1157698: In ΔRST, angle R = 140° and side s = (3/4)r. Find the measures of angles S and T. \n" ); document.write( "
Algebra.Com's Answer #852220 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "In ΔRST, angle R = 140° and side s = (3/4)r. Find the measures of angles S and T. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution in the post by @MowMow is unclear and needs to be polished.\r \n" ); document.write( "\n" ); document.write( " Below is the solution in the polished form as it should be presented.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using the Law of Sines\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r/sin(140°) = s/sin(S) = ((3/4)r)/sin(S) \n" ); document.write( "the r's cancel, \n" ); document.write( "so 1/sin(140°) =(3/4)/sin(S) \n" ); document.write( "sin(S) = (3/4)*sin(140°) = 0.4821 \n" ); document.write( "S = arcsin(0.4821) \n" ); document.write( "S = 28.82° \n" ); document.write( "T = 180° - 140° - 28.82° \n" ); document.write( "T = 11.18°\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |