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As shown in the graph above, the circular base of a large oak tree sit

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As shown in the graph above, the circular base of a large oak tree sit  [#permalink]

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New post 17 Dec 2017, 23:25
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A
B
C
D
E

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  85% (hard)

Question Stats:

49% (01:29) correct 51% (01:34) wrong based on 68 sessions

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As shown in the graph above, the circular base of a large oak tree sits in a level field and touches two straight sides of a fence at points A and B. Point C shows where the two sides of the fence meet. How far from the center of the tree's base is point B ?

(1) AB = CB
(2) The center of the base is 25 feet from point C.


Attachment:
2017-12-18_1023.png
2017-12-18_1023.png [ 3.82 KiB | Viewed 730 times ]

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Re: As shown in the graph above, the circular base of a large oak tree sit  [#permalink]

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New post 17 Dec 2017, 23:25
Bunuel wrote:
Image
As shown in the graph above, the circular base of a large oak tree sits in a level field and touches two straight sides of a fence at points A and B. Point C shows where the two sides of the fence meet. How far from the center of the tree's base is point B ?

(1) AB = CB
(2) The center of the base is 25 feet from point C.


Attachment:
2017-12-18_1023.png


This is a modified version of the following OG question: https://gmatclub.com/forum/the-circular ... 67645.html
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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.


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Re: As shown in the graph above, the circular base of a large oak tree sit  [#permalink]

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New post 24 Jan 2018, 05:58
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Hi Bunuel

This one is more complicated than the original one from the OG. Would you mind explaining how to solve it please?

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Re: As shown in the graph above, the circular base of a large oak tree sit  [#permalink]

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New post 24 Jan 2018, 06:32
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Bunuel wrote:
Image
As shown in the graph above, the circular base of a large oak tree sits in a level field and touches two straight sides of a fence at points A and B. Point C shows where the two sides of the fence meet. How far from the center of the tree's base is point B ?

(1) AB = CB
(2) The center of the base is 25 feet from point C.


Attachment:
2017-12-18_1023.png



Hi..
When we make a triangle ABC..
AC =CB... RULE for a point outside joined by tangents. The point is always at same distance from the point at which the tangent meets circumference..

Let's see the statements..
1) AB=CB...
So triangle ABC is equilateral so angle C us 60..
But we do not know the radius or any other info..
2) OC is 25..
Where O is centre of base..
Insufficient

Combined..
Join OCB..
Now angle C is 60, so angle BACK will be half of it that is 30..
So triangle is 30-60-90..sides are in ratio 1:√3:2
In this hypotenuse is 25..
So OB is 25/2
Sufficient..

C

Bunuel, may be statement I was AC=BC or there is a typo in answer.
I may have skipped something as answering while sitting in concert.
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Re: As shown in the graph above, the circular base of a large oak tree sit  [#permalink]

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New post 24 Jan 2018, 07:23
Thanks Chetan2u.
That is exactly what I thought that the answer could be C and not E as is currently shown. Okay so I am not totally mad yet. Thanks
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Re: As shown in the graph above, the circular base of a large oak tree sit  [#permalink]

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New post 24 Jan 2018, 08:07
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Re: As shown in the graph above, the circular base of a large oak tree sit &nbs [#permalink] 24 Jan 2018, 08:07
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