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# A length of wire is attached to the top of a 16-foot vertical pole.

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Math Expert
Joined: 02 Sep 2009
Posts: 58347
A length of wire is attached to the top of a 16-foot vertical pole.  [#permalink]

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14 Oct 2019, 23:40
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A length of wire is attached to the top of a 16-foot vertical pole. The wire is anchored 12 feet from the base of the pole. What is the length, in feet, of the wire?

(A) 14
(B) 18
(C) 20
(D) 28
(E) 30

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A length of wire is attached to the top of a 16-foot vertical pole.  [#permalink]

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14 Oct 2019, 23:50
Bunuel wrote:
A length of wire is attached to the top of a 16-foot vertical pole. The wire is anchored 12 feet from the base of the pole. What is the length, in feet, of the wire?

(A) 14
(B) 18
(C) 20
(D) 28
(E) 30

The pole is 16 foot and the wire is anchored 12 feet from the base of the pole.
The length of the wire can be calculated using the Pythagoras theorem.

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Wire_Pole.png [ 5.36 KiB | Viewed 75 times ]

The length of the wire is $$\sqrt{16^2 + 12^2} = \sqrt{256 + 144} = 20$$
(Option C)

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A length of wire is attached to the top of a 16-foot vertical pole.   [#permalink] 14 Oct 2019, 23:50
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