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# In the figure attached, segments RS and TU represent two

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In the figure attached, segments RS and TU represent two [#permalink]

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09 Dec 2008, 22:46
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1.In the figure attached, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length of TV
is how much greater than the length of RV?
(1) The length of TU is 10 meters.
(2) The length of RV is 5 meters.
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Re: DS The length of TV [#permalink]

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09 Dec 2008, 23:08

The qs statement shows TU = RS

First statement shows TU = RS = 10
That makes TV, RV, SV, and UV, four unknowns

Second statement shows RV = 5
That still leaves four unknowns

Solving together, we can find SV. But thats it. Since SU is still unknown, we cant get any other values.

Hence E.
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Re: DS The length of TV [#permalink]

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09 Dec 2008, 23:20
C)

(1) TU=10 , angle T=45 then we know TV,UV but still not know RV (not sufficient)
(2) RV=5 , but we don't know TV and angle R=60 not relate to TV (not sufficient)

(1) and (2) together are sufficient since we can find out TV from (1) and RV from (2) then we know TV-RV which is the answer
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Re: DS The length of TV [#permalink]

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09 Dec 2008, 23:22
OA is not what you all mention

let's try again...

thx
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Re: DS The length of TV [#permalink]

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09 Dec 2008, 23:26
paeagain wrote:
1.In the figure attached, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length of TV is how much greater than the length of RV?

(1) The length of TU is 10 meters.
(2) The length of RV is 5 meters.

it should be D.

1: using 45:45:90, we can get the lengths of all sides. suff.
2: using 30:60:90, we can get the lengths of all sides.suff..
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Re: DS The length of TV [#permalink]

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09 Dec 2008, 23:29
D.

We know the the same ladder is used. so length of the diagonal of right triangle is fixed.
We also know that one of the triangle is 45-45-90 triangle and other is 30-60-90 triangle
so knowing any one side, we can calculate the lengths of remaning sides.

1) & 2) each gives us length of one side.
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09 Dec 2008, 23:30
Sorry i did'nt see the angles in the figure. Hence the previous post. With angles into consideration, the QA should be D definitely.
A   [#permalink] 09 Dec 2008, 23:30
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