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A wire is stretched from the ground to the top of an antenna tower.The wire is 17 feet long. The height of the tower is 7 feet greater than the distance d from the tower's base to the end of the wire. Find the distance d and the height of the tower

 Mar 8, 2020
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Pythagorean theorem says

 

d2  +    (d+7)2   = 172

d^2 + d^2 + 14d + 49 = 289

2d^2 + 14d -240 = 0      Quadratic formula yields d=8     or -15 (throw out)

 

8 + 7 = 15 = height

 Mar 8, 2020

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