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

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Math Expert
Joined: 02 Sep 2009
Posts: 44635
A length of wire is attached to the top of a 16-foot vertical pole. Th [#permalink]

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22 Mar 2018, 23:54
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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
[Reveal] Spoiler: OA

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Senior Manager
Joined: 07 Jul 2012
Posts: 334
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: A length of wire is attached to the top of a 16-foot vertical pole. Th [#permalink]

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23 Mar 2018, 00:03
Length of wire= $$\sqrt{16^2+12^2}$$= $$\sqrt{400}$$= 20

$$Answer: C.$$
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Joined: 26 Feb 2016
Posts: 2436
Location: India
GPA: 3.12
Re: A length of wire is attached to the top of a 16-foot vertical pole. Th [#permalink]

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23 Mar 2018, 00:52
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

When we visualize the pole and the wire, you will get the following figure

Attachment:

Pole_Wire.png [ 3.5 KiB | Viewed 214 times ]

A right-angled triangle is formed where the length of the wire is
the hypotenuse of the right-angled triangle.

This can be calculated as follows
$$Length^2 = 12^2 + 16^2 = 144 + 256 = 400$$

Therefore, the length of the wire is $$\sqrt{400} = 20$$(Option C)
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Joined: 30 Mar 2017
Posts: 60
Re: A length of wire is attached to the top of a 16-foot vertical pole. Th [#permalink]

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24 Mar 2018, 15:42
Save some time by recognizing that we have a 3-4-5 triangle.
Re: A length of wire is attached to the top of a 16-foot vertical pole. Th   [#permalink] 24 Mar 2018, 15:42
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