document.write( "Question 147464: I have a parallelogram (rv lot)45 feet by 30 feet with angle of 60 degrees..question is...will my rv of 40 feet by 10 feet fit on lot without crossing boundries?
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Algebra.Com's Answer #107847 by stanbon(75887) ![]() You can put this solution on YOUR website! I have a parallelogram (rv lot)45 feet by 30 feet with angle of 60 degrees..question is...will my rv of 40 feet by 10 feet fit on lot without crossing boundries? \n" ); document.write( "------------------------- \n" ); document.write( "Draw the picture of the rv in the parallelogram. \n" ); document.write( "The back of the rv is the base of an equilateral \n" ); document.write( "triangle with 60 degree angles and sides of 10 ft. \n" ); document.write( "------------ \n" ); document.write( "The triangle with the 120 degree angle has sides \n" ); document.write( "of 20 ft and 45 ft. \n" ); document.write( "Determine whether the 3rd side is >=40 ft. by \n" ); document.write( "using the Law of Cosines \n" ); document.write( "----------- \n" ); document.write( "x^2 = 20^2 + 45^2 -2*20*45*cos120 = 3325 \n" ); document.write( "x = 57.66 ft. \n" ); document.write( "----------------- \n" ); document.write( "Yes your 40 foot long rv will fit in the lot. \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |