In the figure above, segments RS and TU represent two : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 17:40

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 651
Followers: 42

Kudos [?]: 864 [1] , given: 39

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

### Show Tags

22 Feb 2011, 09:36
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:50) correct 48% (01:20) wrong based on 58 sessions

### HideShow timer Statistics

Attachment:

QR DS 91.jpg [ 34.85 KiB | Viewed 2187 times ]

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.

OPEN DISCUSSION OF THIS TOPIC IS HERE: in-the-figure-above-segments-rs-and-tu-represent-two-positi-167496.html
[Reveal] Spoiler: OA

_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1707 [0], given: 376

Re: In the figure above, segments RS and TU represent two [#permalink]

### Show Tags

22 Feb 2011, 09:59
$$\triangle{TVU}$$ is a right-angled triangle with angles 45-90-45.
Ratio of its sides
$$Base:Altitude:Hypotenuse::\bar{TV}:\bar{UV}:\bar{TU}::1:1:\sqrt{2}$$

$$\triangle{RVS}$$ is a right-angled triangle with angles 30-90-60.
Ratio of its sides
$$Base:Altitude:Hypotenuse::\bar{RV}:\bar{VS}:\bar{SR}::1:\sqrt{3}:2$$

(1)
TU=RS=10
$$\bar{TV}=\frac{10}{\sqrt{2}}$$
$$\bar{RV}=\frac{10}{2}$$

Find TV-RV
Sufficient.

(2)
RV=10
$$\bar{RS}=5*2=\bar{TU}$$
$$\bar{TV}=\frac{10}{\sqrt{2}}$$
Find TV-RV
Sufficient.

Ans: "D"
_________________
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 920
Followers: 14

Kudos [?]: 341 [1] , given: 123

Re: In the figure above, segments RS and TU represent two [#permalink]

### Show Tags

03 Mar 2011, 06:44
1
KUDOS
Same ladder = same length. TU=RS

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?
Manager
Joined: 14 Feb 2011
Posts: 196
Followers: 4

Kudos [?]: 127 [0], given: 3

Re: In the figure above, segments RS and TU represent two [#permalink]

### Show Tags

03 Mar 2011, 08:51
You can also use basic trigonometry to get this information. Let's see how:

Statement 1 says TU = 10 metres which would be same as RS as its the same ladder.

Now TV = TU*Cos45 and
and RV = RS*Cos60

So both TV and RV can be calculated by using given information, so sufficient

Statement 2 gives RV = 5, but we know that RV = RS*Cos60 so, RS = TS = RV/Cos60 and hence TV can also be determined. Thus we again know TV and RV, so sufficient.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13506
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: In the figure above, segments RS and TU represent two [#permalink]

### Show Tags

25 Aug 2016, 10:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36601
Followers: 7097

Kudos [?]: 93475 [0], given: 10563

Re: In the figure above, segments RS and TU represent two [#permalink]

### Show Tags

25 Aug 2016, 23:40
Baten80 wrote:
Attachment:
QR DS 91.jpg

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.

MUST KNOW FOR THE GMAT:
• A right triangle where the angles are 30°, 60°, and 90°.

This is one of the 'standard' triangles you should be able recognize on sight. A fact you should commit to memory is: The sides are always in the ratio $$1 : \sqrt{3}: 2$$.
Notice that the smallest side (1) is opposite the smallest angle (30°), and the longest side (2) is opposite the largest angle (90°).

• A right triangle where the angles are 45°, 45°, and 90°.

This is one of the 'standard' triangles you should be able recognize on sight. A fact you should also commit to memory is: The sides are always in the ratio $$1 : 1 : \sqrt{2}$$. With the $$\sqrt{2}$$ being the hypotenuse (longest side). This can be derived from Pythagoras' Theorem. Because the base angles are the same (both 45°) the two legs are equal and so the triangle is also isosceles.

BACK TO THE ORIGINAL QUESTION:

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 Length of RV?

Given: RS=TU. Question: TV-RV=?

Now, according to the properties above if we knew RS (or which is the same TU), then we would be able to find ANY line segment in the given figure: RS would give us RV and SV, while TU would give us TV and UV. Thus knowing RS/TU would be sufficient to get the value of TV-RV.

If we knew RV: we could get RS (or which is the same TU) and would have the same exact case as above.

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

Similar questions to practice:
in-the-figure-above-segments-rs-and-tu-represent-two-140752.html

OPEN DISCUSSION OF THIS TOPIC IS HERE: in-the-figure-above-segments-rs-and-tu-represent-two-positi-167496.html
_________________
Re: In the figure above, segments RS and TU represent two   [#permalink] 25 Aug 2016, 23:40
Similar topics Replies Last post
Similar
Topics:
11 In the figure above, is RS || PQ? 6 26 Feb 2015, 10:18
7 In the figure below, segments AB and CD represent two different ways 7 14 Jan 2015, 01:21
17 In the figure above, segments RS and TU represent two positi 10 14 Feb 2014, 00:56
11 In the figure above, segments RS and TU represent two 19 15 Oct 2012, 09:17
22 In the figure above, segments RS and TU represent two positi 14 23 Jan 2012, 01:11
Display posts from previous: Sort by