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In the sunshine, an upright pole 12 feet tall is casting a s

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In the sunshine, an upright pole 12 feet tall is casting a s [#permalink] New post 03 Feb 2017, 01:36
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Question Stats:

93% (00:43) correct 6% (02:35) wrong based on 31 sessions


In the sunshine, an upright pole 12 feet tall is casting a shadow 8 feet long. At the same time, a nearby upright pole is casting a shadow 10 feet long. If the lengths of the shadows are proportional to the heights of the poles, what is the height, in feet, of the taller pole?

A) 10

B) 12

C) 14

D) 15

E) 18
[Reveal] Spoiler: OA

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Re: In the sunshine, an upright pole 12 feet tall is casting a s [#permalink] New post 12 Feb 2017, 15:53
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Explanation

Create a cross-multiplying diagram and fill it in with values from the question:

Tree 1:Tree 2:
Real height:12 ft.? ft.
Shadow height:8 ft.10 ft.


(8)(?) = (12)(10) → (8)(?) = 120 → ? = 15

Hence D is the correct option.
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Re: In the sunshine, an upright pole 12 feet tall is casting a s   [#permalink] 12 Feb 2017, 15:53
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