Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Sep 2016, 08:55
GMAT Club Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the figure above, line AC represents a seesaw that is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
User avatar
Joined: 11 Jan 2006
Posts: 230
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing
Followers: 1

Kudos [?]: 17 [2] , given: 18

In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 03 Oct 2006, 05:34
2
This post received
KUDOS
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

52% (02:04) correct 48% (01:03) wrong based on 265 sessions

HideShow timer Statistics

Attachment:
Untitled.png
Untitled.png [ 1.22 KiB | Viewed 3512 times ]
In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?

(1) x = 30
(2) Point B is 5 feet above the ground.
[Reveal] Spoiler: OA

Attachments

fig1.doc [20.5 KiB]
Downloaded 115 times

To download please login or register as a user


_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED


Last edited by Bunuel on 29 Nov 2013, 02:25, edited 1 time in total.
Edited the question and added the OA.
Director
Director
avatar
Joined: 06 Sep 2006
Posts: 743
Followers: 1

Kudos [?]: 31 [0], given: 0

 [#permalink]

Show Tags

New post 03 Oct 2006, 06:41
20. In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?
(1) x = 30
(2) Point B is 5 feet above the ground.

A & B are unsufficient.

Combining

Sin 30(degree) = 5/AB
so AB can be determine and hence AC, since AC=2AB.

If we draw a perpendicula from line A which touches point C and call that point (on line A) D.

So, Sin 30 = AD/2AB
Answer is C.
5 KUDOS received
Intern
Intern
avatar
Joined: 14 Jul 2005
Posts: 44
Location: California
Followers: 1

Kudos [?]: 6 [5] , given: 0

 [#permalink]

Show Tags

New post 04 Oct 2006, 15:59
5
This post received
KUDOS
Answer is B.
Statement 2 alone is suff.
lets say: BA= x
then CA = 2x (since B is the mid point of CA)
Triangle ACD(D is the point where the perpendicular dropped from C touches the ground) is similar to triangle ABE(E is the point where the perpendicular dropped from C touches the ground).
Therefore x/5=2x/z
or z=10
Director
Director
avatar
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
Followers: 5

Kudos [?]: 57 [0], given: 1

 [#permalink]

Show Tags

New post 04 Oct 2006, 16:21
This one had me stumped. But, B it is, as others have explained before.
1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 28 Aug 2006
Posts: 306
Followers: 13

Kudos [?]: 134 [1] , given: 0

 [#permalink]

Show Tags

New post 05 Oct 2006, 01:03
1
This post received
KUDOS
It is B.
Apply property of similar triangles.........
_________________

Averages Accelerated:Guide to solve Averages Quickly(with 10 practice problems)


Last edited by cicerone on 25 Sep 2008, 01:30, edited 1 time in total.
Manager
Manager
User avatar
Joined: 11 Jan 2006
Posts: 230
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing
Followers: 1

Kudos [?]: 17 [0], given: 18

 [#permalink]

Show Tags

New post 05 Oct 2006, 21:13
Gud explanation 800_gal...

Thanks for that..hahaa..completely forgot about the similar triangles properties...gotto revise it now...
_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

1 KUDOS received
Current Student
User avatar
Joined: 06 Sep 2013
Posts: 2035
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 55

Kudos [?]: 538 [1] , given: 355

GMAT ToolKit User
Re: In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 28 Nov 2013, 14:57
1
This post received
KUDOS
Raghavender wrote:
20. In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?
(1) x = 30
(2) Point B is 5 feet above the ground.


Is there anyway someone can put the picture on the problem so we don't have to open it every time?

Much appreciated!
Cheers
J :)
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34862
Followers: 6484

Kudos [?]: 82674 [2] , given: 10116

Re: In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 29 Nov 2013, 02:25
2
This post received
KUDOS
Expert's post
jlgdr wrote:
Raghavender wrote:
20. In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?
(1) x = 30
(2) Point B is 5 feet above the ground.


Is there anyway someone can put the picture on the problem so we don't have to open it every time?

Much appreciated!
Cheers
J :)

______________
Done.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11684
Followers: 527

Kudos [?]: 143 [0], given: 0

Premium Member
Re: In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 05 May 2015, 09:10
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
2 KUDOS received
e-GMAT Representative
User avatar
Joined: 04 Jan 2015
Posts: 350
Followers: 110

Kudos [?]: 855 [2] , given: 84

Re: In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 06 May 2015, 03:02
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Hi All,

For those of you who are not comfortable with the concept of similar triangles and its application, this question can be solved using application of simple trigonometric ratios.


Image

In triangle ABD which is right angled at D, we can use \(Sin x = \frac{BD}{AB.}\)

Similarly, in triangle ACE which is right angled at E, we can use \(Sin x = \frac{CE}{AC}\)

From the above two equations, we can write \(\frac{BD}{AB} = \frac{CE}{AC}\) i.e. \(CE = \frac{(BD * AC)}{AB.}\)

Since \(AC = 2AB\), we can write \(CE = 2BD\).

So, for finding the height of point C from the ground we just need to know the height of point B from the ground.

We see that st-II provides us the height of B. Thus statement-II alone is sufficient to answer the question.

You can try out a similar question at a-squirrel-climbs-a-straight-wire-from-point-a-to-point-c-if-b-is-the-195315.html#p1517662

Hope its clear!

Regards
Harsh
_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Manager
Manager
avatar
Joined: 07 Apr 2015
Posts: 188
Followers: 2

Kudos [?]: 49 [0], given: 185

In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 25 Jul 2015, 05:40
What i don't get is why we can assume that the two triangles are similar just because AB = BC?

I mean it looks similar, but why can we apply that?
Expert Post
1 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 2643
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 107

Kudos [?]: 1233 [1] , given: 786

GMAT ToolKit User Premium Member Reviews Badge
In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 25 Jul 2015, 06:01
1
This post received
KUDOS
Expert's post
noTh1ng wrote:
What i don't get is why we can assume that the two triangles are similar just because AB = BC?

I mean i looks similar, but why can we apply that?


Refer to the attached figure for description of the points.

BD and CE are perpendicular to AE.

So, in triangles ABD and ACE, angle A is common angle to both the triangles, \(\angle{ADB} = \angle{AEC} = 90\) and \(\angle {ABD} = \angle{ACE}\) (BD || CE)

Thus triangles ABD ad ACE are similar by AA (or angle -angle similarity theorem)

Thus, by similarity

AB/ AC = BD / CE

Given BD = 5 and AB = 0.5*AC

Thus CE = 10. Hence, Statement 2 is sufficient.

Per statement 1, x =30 does not provide us any other useful information.

Thus B is the correct answer.

Hope this helps.
Attachments

Similar triangles.jpg
Similar triangles.jpg [ 11.3 KiB | Viewed 1689 times ]


_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Writing Mathematical Formulae in your posts: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html#p1096628
GMATCLUB Math Book: http://gmatclub.com/forum/gmat-math-book-in-downloadable-pdf-format-130609.html
Everything Related to Inequalities: http://gmatclub.com/forum/inequalities-made-easy-206653.html#p1582891
Inequalities tips: http://gmatclub.com/forum/inequalities-tips-and-hints-175001.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

1 KUDOS received
Manager
Manager
avatar
Joined: 09 Jan 2013
Posts: 78
Concentration: Entrepreneurship, Sustainability
GMAT 1: 650 Q45 V34
GMAT 2: 740 Q51 V39
GRE 1: 1440 Q790 V650
GPA: 3.76
WE: Other (Pharmaceuticals and Biotech)
Followers: 2

Kudos [?]: 67 [1] , given: 185

Reviews Badge
Re: In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 25 Jul 2015, 06:33
1
This post received
KUDOS
noTh1ng wrote:
What i don't get is why we can assume that the two triangles are similar just because AB = BC?

I mean it looks similar, but why can we apply that?

Attachment:
Untitled.png
Untitled.png [ 21.95 KiB | Viewed 1682 times ]


You can use three rules to prove that the triangles are similar.
1. AA- two angles are equal.
2. SSS- All three sides are proportional to each other.
3. SAS- One angle is equal and the two adjacent sides are proportional.

In this case, you know two angles are equal, x and the 90. Since the height of a point is being measured.

Hope it helps.
Manager
Manager
avatar
Joined: 07 Apr 2015
Posts: 188
Followers: 2

Kudos [?]: 49 [0], given: 185

Re: In the figure above, line AC represents a seesaw that is [#permalink]

Show Tags

New post 25 Jul 2015, 07:25
thx akhilbajaj ; good for memorizing this stuff :)
Re: In the figure above, line AC represents a seesaw that is   [#permalink] 25 Jul 2015, 07:25
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic In the figure above, with B a point on the line AC, what is the measu Bunuel 3 01 Aug 2016, 05:44
4 Experts publish their posts in the topic There is a triangle ACE shown as above figure. what is the measurement MathRevolution 2 01 Jun 2016, 18:12
5 Experts publish their posts in the topic In the figure above, point B lies on line segment AC kinjiGC 5 05 Nov 2014, 08:46
7 Experts publish their posts in the topic In the figure above, segments AC and BC are each parallel mahendru1992 5 13 Aug 2014, 02:50
38 Experts publish their posts in the topic In the figure above, SQRE is a square, AB = AC, and AS = AQ. AccipiterQ 21 18 Oct 2013, 09:34
Display posts from previous: Sort by

In the figure above, line AC represents a seesaw that is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.