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) $\"\"$ $\"About$

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\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.
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document.write( "In this problem, you have a right angled triangle with the hypotenuse x meters (now unknown)\r\n" );
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document.write( "and the legs of 8 meters and (x-4) meters.\r\n" );
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document.write( "Write Pythagorean equation\r\n" );
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document.write( "    x^2 = (x-4)^2 + 8^2.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    x^2 = x^2 - 8x + 16 + 64,\r\n" );
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document.write( "    8x = 80\r\n" );
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document.write( "     x = 80/8 = 10.\r\n" );
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document.write( "ANSWER.  The length of the wire is 10 meters.\r\n" );
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