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12 Apr 2009, 09:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Please explain - OA is B >> 1
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12 Apr 2009, 21:08
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The answer is B.
This is how:
Draw a perpendicular line from the point P onto X-axis. Lets call the point of intersection as A. Now we have a 30-60-90 Right Triangle POA. PA=1. AO=
. PO = 2 = QO. (OP = OQ = radius of circle).
This is 1:2: triangle. Angle POA=30 degrees.
Draw a perpendicular line from the point Q onto X-axis. Lets call that point of intersection as B. QBO is a 30-60-90 Right Triangle as well.
Extend the line PO and QO. Using Vertical Angles theorem (Opposite angles), you know Angle QOB = 60.
We know the ratio of a 30-60-90 Right Triangle to be 1:2:.
We know QO = 2. Thus, OB = 1 = s.
s=1.
Although it seems complicated, once you extend the line segments PO and QO and find out all the angles, the problem becomes simple.
Remembering the ratio of the sides of a 30-60-90 Right Triangle and 45-45-90 Right Triangle is very handy for GMAT.
This is how:
Draw a perpendicular line from the point P onto X-axis. Lets call the point of intersection as A. Now we have a 30-60-90 Right Triangle POA. PA=1. AO=
. PO = 2 = QO. (OP = OQ = radius of circle).This is 1:2:
triangle. Angle POA=30 degrees.Draw a perpendicular line from the point Q onto X-axis. Lets call that point of intersection as B. QBO is a 30-60-90 Right Triangle as well.
Extend the line PO and QO. Using Vertical Angles theorem (Opposite angles), you know Angle QOB = 60.
We know the ratio of a 30-60-90 Right Triangle to be 1:2:
.We know QO = 2. Thus, OB = 1 = s.
s=1.
Although it seems complicated, once you extend the line segments PO and QO and find out all the angles, the problem becomes simple.
Remembering the ratio of the sides of a 30-60-90 Right Triangle and 45-45-90 Right Triangle is very handy for GMAT.
--== Message from the GMAT Club Team ==--
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This discussion does not meet community quality standards. It has been retired.
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THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.
If you would like to discuss this question please re-post it in the respective forum. Thank you!
To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
13 Apr 2009, 12:03
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That was perfect explanation. Thank you. We can also make use of Sin and Cos formulae but it makes the process more time consuming and complex
goldeneagle94
