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

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Manager
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In the figure above, segments RS and TU represent two [#permalink]  17 May 2008, 16:08
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In the figure above, 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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Director
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Re: DS 9-23 [#permalink]  17 May 2008, 17:05
It is D

from statement 1: TU is the hypotenus of a 45,45,90 triangle x,x,x(sqrt2)
x = 10/(sqrt2) = TV

TU = SR
SR is the hypotenus of a 30,60,90 triangle
therefore RV = .5SR = 5

TV - RV = 10/(sqrt2) - 5

Suff

statement 2: is also suff using the reverse steps of statement 1
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Re: DS 9-23 [#permalink]  18 May 2008, 10:18
gmatnub wrote:
It is D

from statement 1: TU is the hypotenus of a 45,45,90 triangle x,x,x(sqrt2)
x = 10/(sqrt2) = TV

TU = SR
SR is the hypotenus of a 30,60,90 triangle
therefore RV = .5SR = 5

TV - RV = 10/(sqrt2) - 5

Suff

statement 2: is also suff using the reverse steps of statement 1

I missed the point that RS and TU represent two positions of the the same ladder, meaning that they have the same length. Thanks for detail explanation.
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Re: DS 9-23 [#permalink]  18 May 2008, 12:08
i get D too..and really didnt do any math here..

i know the angles..45-90-45..is an issoc triangle.. so TU=sqrt(2)X... TV=X

sufficient
Re: DS 9-23   [#permalink] 18 May 2008, 12:08
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