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A man 6 feet tall is standing near a pole. On the top of the pole is

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A man 6 feet tall is standing near a pole. On the top of the pole is [#permalink]

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Question Stats:

82% (00:46) correct 18% (01:17) wrong based on 50 sessions

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A man 6 feet tall is standing near a pole. On the top of the pole is a light. What is the length of the shadow cast by the man? (Assume that the men is in a room with flat floor and the light on the pole is the only source of the light in that room).

(1) The pole is 18 feet high.
(2) The man is 12 feet from the pole
[Reveal] Spoiler: OA

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Re: A man 6 feet tall is standing near a pole. On the top of the pole is [#permalink]

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New post 16 Oct 2017, 02:00
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option C

from Q stem we can draw a triangle similar to the one in attachment. however we need to know two more variables.

st1 gives the height of the post but this doesnt say anything about the length of shadow.

st2 gives the distance between the man and the post and this doesnt give the length of the shadow.

combining st1 & st2 we can find the length of the shadow as 4 (however not needed)
Attachments

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1.jpg [ 9.65 KiB | Viewed 469 times ]


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Re: A man 6 feet tall is standing near a pole. On the top of the pole is [#permalink]

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New post 22 Oct 2017, 15:40
Based on the question stem, we know that the man is parallel to the light. So these triangles will be similar and hence proportional. We just need to know the height of the pole and distance from the pole.
ST1) Gives us the height
ST2) Gives us distance.

So C 1+2 together.
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Re: A man 6 feet tall is standing near a pole. On the top of the pole is [#permalink]

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New post 25 Oct 2017, 20:33
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St 1: it gives the height of pole but remains silent regarding distance of man from pole , so it is not sufficient to answer.

Statement 2 :it gives distance of man from pole but doesn't say anything about pole height. So it is insufficient to answer.

Combining St1 & 2, we can answer the question using similar triangle principle.

Hence Answer is C.

PS: since it is DS question, so don't try to find the exact answer, we should only ensure that the question can be answered uniquely.

Give Kudos if like the solution.

Posted from my mobile device

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Re: A man 6 feet tall is standing near a pole. On the top of the pole is   [#permalink] 25 Oct 2017, 20:33
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