Posted by **jennifer** on Saturday, September 27, 2008 at 10:38am.

A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire.Find the height of the tower.

20^2=H^2 + (H-4)^2

solve for h

400=2H^2 - 8H +16

H^2 - 4H-192

(H-16)(H+12) = 0

postive root h = 16 feet

tower;s base is sqrt (20^2-16^2)

=

12 feet from where the cable touches the ground

is this correct?

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