document.write( "Question 519871: A wire is stretched from the ground to the top of an antenna tower. The wire is 20ft long. The height of the tower is 4ft greater than the distance d from the towers base to the end of the wire. Find the distance d and the height of the tower.
\n" ); document.write( "The section of the book I'm in is polynomial equations and functions. I came with
\n" ); document.write( "1/2d(d+4)=20 then I did 2/1 x 1/2d(d+4)=20 x 1/2 =d^2+4d=40=d^2+4d-40=0
\n" ); document.write( "I then tried to factor but it comes out prime for me but the answer in the back of the book is 12 and 16 ??? \n" ); document.write( "
Algebra.Com's Answer #345817 by stanbon(75887)\"\" \"About 
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A wire is stretched from the ground to the top of an antenna tower. The wire is 20ft long. The height of the tower is 4ft greater than the distance d from the towers base to the end of the wire. Find the distance d and the height of the tower.
\n" ); document.write( "the answer in the back of the book is 12 and 16 ???
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\n" ); document.write( "Draw the picture.
\n" ); document.write( "You have a right triangle with hypotenuse = 20 ft.
\n" ); document.write( "Base of the triangle is \"x\":
\n" ); document.write( "Height of the triangle is \"x+4\".
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\n" ); document.write( "Equation:
\n" ); document.write( "x^2 + (x+4)^2 = 20^2
\n" ); document.write( "x^2 + x^2 + 8x + 16 = 400
\n" ); document.write( "2x^2 + 8x - 384 = 0
\n" ); document.write( "---
\n" ); document.write( "x^2 + 4x - 192 = 0
\n" ); document.write( "---
\n" ); document.write( "(x+16)(x-12) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 12 (distance to the pole.
\n" ); document.write( "x+4 = 16 (height of the pole)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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