SOLUTION: A wire is stretched from the ground to the top of an antenna tower. The wire is 30 feet long. The height of the tower is 6ft greater than the distance d from the towers base to th

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Question 1145157: A wire is stretched from the ground to the top of an antenna tower. The wire is 30 feet long. The height of the tower is 6ft 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
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The wire, hypotenuse    30
Tower height            d+6
base to wire at ground  d

Solve this: .
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

It is a (3,4,5) right angled triangle, with the hypotenuse of 30 ft (wire), vertical leg of 24 ft (tower height) 

and the horizontal leg of 18 ft (on the ground).


ANSWER.  The distance d is 18 ft.


CHECK.   +  = 576 + 324 = 900;   = 900.    ! Correct !


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