document.write( "Question 73955: Please help me round angle measures to the nearest degree and side measures to the nearest tenth for this problem: A triangular garden has dimensions 54 feet, 48 feet, and 62 feet. Find the angles at each corner of the garden. (Law of Cosines) \n" ); document.write( "
Algebra.Com's Answer #52959 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a^2 = b^2+c^2-2bc(CosA) \n" ); document.write( "So, Cos(A)=[b^2+c^2-a^2]/2bc\r \n" ); document.write( "\n" ); document.write( "------ \n" ); document.write( "Please help me round angle measures to the nearest degree and side measures to the nearest tenth for this problem: A triangular garden has dimensions 54 feet, 48 feet, and 62 feet. Find the angles at each corner of the garden. (Law of Cosines \n" ); document.write( "--------------- \n" ); document.write( "Let \"48 ft\" be the side opposite angle A; then \n" ); document.write( "CosA = [54^2 + 62^2 - 48^2]/(2*54*62) \n" ); document.write( "CosA = [0.6654719... \n" ); document.write( "Take the cos^-1(A) to get A=48.28 degrees \n" ); document.write( "------------ \n" ); document.write( "Let \"54\" be the side opposite angle B; then \n" ); document.write( "CosB = [48^2+62^2-54^2]/(2*48*54] = 0.54301075... \n" ); document.write( "Take the cos^-1(B) to get B=57.111 degrees \n" ); document.write( "----------- \n" ); document.write( "Then the 3 angle is 180-48.28-57.11=74.61 degrees \n" ); document.write( "=============== \n" ); document.write( "Cheers,\r \n" ); document.write( "\n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |