document.write( "Question 878578: In right triangle LMN, ∠N is a right angle and cos M = 46/85. What is m∠L to the nearest degree?
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document.write( "a. 57
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document.write( "b. 67
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document.write( "c. 43
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document.write( "d. 33 \n" );
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Algebra.Com's Answer #530093 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Too many tutors don't \"tute\" enough. Mostly they just hand out answers.\r\n" ); document.write( "I think a tutor should be a teacher, not an answer-giver.\r\n" ); document.write( "\r\n" ); document.write( "--------------------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "In right triangle LMN, ∠N is a right angle and cos M = 46/85. What is m∠L to the nearest degree?\r\n" ); document.write( "\n" ); document.write( "\r\n" ); document.write( "In a right triangle, the two acute angles M and L are COmplementary.\r\n" ); document.write( "\r\n" ); document.write( "Notice that \"complementary\" begins with the prefix \"CO\". \r\n" ); document.write( "\r\n" ); document.write( "WThe side that is ADJACENT to one acute angle is OPPOSITE to the other.\r\n" ); document.write( "\r\n" ); document.write( "Therefore:\r\n" ); document.write( "\r\n" ); document.write( "The sine of one acute angle is the COsine of the other.\r\n" ); document.write( "The tangent of one acute angle is the COtangent of the other.\r\n" ); document.write( "The secant of one acute angle is the COsecant of the other.\r\n" ); document.write( "\r\n" ); document.write( "Just as \"COmplement\" starts with CO, so do COsine, COtangent,\r\n" ); document.write( "and COsecant.\r\n" ); document.write( "\r\n" ); document.write( "\"COsine\" is short for \"COmplement's sine\".\r\n" ); document.write( "\"COtangent\" is short for \"COmplement's tangent\".\r\n" ); document.write( "\"COsecant\" is short for \"COmplement's secant\".\r\n" ); document.write( "\r\n" ); document.write( "So the M's COSINE is L's SINE. \r\n" ); document.write( "\r\n" ); document.write( "That is, cos(M) = sin(L) = 46/85\r\n" ); document.write( " \r\n" ); document.write( "On your TI calculator get \r\n" ); document.write( "\r\n" ); document.write( "sin-1(46/85)\r\n" ); document.write( "\r\n" ); document.write( "Read 32.76376226 \r\n" ); document.write( "\r\n" ); document.write( "Answer: 33°\r\n" ); document.write( "\r\n" ); document.write( "Edwin |