document.write( "Question 1170789: A tree is supported by a wire anchored at the ground 8m from its base. The wire is 4m longer than the height that it reaches on the tree, find the length of the wire. \n" ); document.write( "
Algebra.Com's Answer #850868 by ikleyn(52817)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A tree is supported by a wire anchored at the ground 8m from its base. \n" ); document.write( "The wire is 4m longer than the height that it reaches on the tree, find the length of the wire. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "In this problem, you have a right angled triangle with the hypotenuse x meters (now unknown)\r\n" ); document.write( "\r\n" ); document.write( "and the legs of 8 meters and (x-4) meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write Pythagorean equation\r\n" ); document.write( "\r\n" ); document.write( " x^2 = (x-4)^2 + 8^2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " x^2 = x^2 - 8x + 16 + 64,\r\n" ); document.write( "\r\n" ); document.write( " 8x = 80\r\n" ); document.write( "\r\n" ); document.write( " x = 80/8 = 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The length of the wire is 10 meters.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |