document.write( "Question 96839: Please help me solve this trigo problem.
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document.write( "Two roads intersect at an obtuse angle. Two points are chosen:X, 0.12 mi from the intersection, and Y, 0.24 mi from the intersection. If the line of sight from X to Y makes an angle of 52 degrees with one road at point X, what is the measure of the obtuse angle between the roads?
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Algebra.Com's Answer #70460 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two roads intersect at an obtuse angle. Two points are chosen:X, 0.12 mi from the intersection, and Y, 0.24 mi from the intersection. If the line of sight from X to Y makes an angle of 52 degrees with one road at point X, what is the measure of the obtuse angle between the roads?\r \n" ); document.write( "\n" ); document.write( "------------------ \n" ); document.write( "Draw the picture. Label X,Y and let the obtuse angle be labeled \"Z\". \n" ); document.write( "You are given the length of two sides: \n" ); document.write( "x=0.12 , y=0.24 \n" ); document.write( "You are given the angle X = 52 degrees \n" ); document.write( "-------------- \n" ); document.write( "Use the Law of Sines to find angle Y: \n" ); document.write( "sin Y/0.12 = sin 52/0.24 \n" ); document.write( "sin Y = 0.12[sin 52/0.24] = 0.39400... \n" ); document.write( "--------- \n" ); document.write( "Find anti-sin (0.39400...) = 23.204 degrees \n" ); document.write( "---------------- \n" ); document.write( "Then angle Z = 180-52-23.24 = 104.796... degrees \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |