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In the sunshine, an upright pole 12 feet tall is casting a s
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03 Feb 2017, 01:36
03 Feb 2017, 01:36
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Question Stats:
97% (00:52) correct
2% (02:06) wrong based on 114 sessions
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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
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Posts: 4805
GRE 1: Q167 V156
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Re: In the sunshine, an upright pole 12 feet tall is casting a s
[#permalink]
12 Feb 2017, 15:53
12 Feb 2017, 15:53
2
Expert Reply
Explanation
Create a cross-multiplying diagram and fill it in with values from the question:
(8)(?) = (12)(10) → (8)(?) = 120 → ? = 15
Hence D is the correct option.
_________________
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.
_________________
Sandy
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Re: In the sunshine, an upright pole 12 feet tall is casting a s
[#permalink]
06 Mar 2018, 18:27
06 Mar 2018, 18:27
1
Expert Reply
The two poles and their shadows are forming the two legs of similar right triangles. As such, we can make a ratio:
height1/shadow1 = height2/shadow2
so
12/8 = h/10
which tells us that the height is 15. The answer is D.
_________________
height1/shadow1 = height2/shadow2
so
12/8 = h/10
which tells us that the height is 15. The answer is D.
_________________
Re: In the sunshine, an upright pole 12 feet tall is casting a s
[#permalink]
20 Aug 2020, 03:39
20 Aug 2020, 03:39
SherpaPrep wrote:
The two poles and their shadows are forming the two legs of similar right triangles. As such, we can make a ratio:
height1/shadow1 = height2/shadow2
so
12/8 = h/10
which tells us that the height is 15. The answer is D.
height1/shadow1 = height2/shadow2
so
12/8 = h/10
which tells us that the height is 15. The answer is D.
Isnt it 8/12 = 10/x ?
_________________
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Re: In the sunshine, an upright pole 12 feet tall is casting a s
[#permalink]
05 Sep 2021, 01:01
05 Sep 2021, 01:01
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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