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If in the figure above angle POS is 60°, what is the ratio of OP to OQ

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If in the figure above angle POS is 60°, what is the ratio of OP to OQ  [#permalink]

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New post 11 Sep 2018, 03:07
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

82% (01:37) correct 18% (02:18) wrong based on 13 sessions

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Re: If in the figure above angle POS is 60°, what is the ratio of OP to OQ  [#permalink]

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New post 11 Sep 2018, 04:35
Bunuel wrote:
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If in the figure above angle POS is 60°, what is the ratio of OP to OQ?

(1) OP = 10
(2) RS = 3

Attachment:
image032.gif


Question: What is the ratio of OP and OQ = ?

To calculate the lengths of OP and OQ we need one side of each opf the triangles so that we can use the ratio of sides for triangles 45-45-90 and 30-60-90 to calculate the hypotenuse of the Triangles


Statement 1: OP = 10
OQ can't be calculated hence

NOT SUFFICIENT

Statement 2: RS = 3
the difference of two sides can not be equated at the moment as no relation among the sides is known hence

NOT SUFFICIENT

Combining the two statements
OP = 10 gives us information to calculate OR =5 and PR =5√3
and RS =3 tells us that OS = 5+3 = 8 i.e. OQ = 8√2 hence

SUFFICIENT

Answer: option C
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Re: If in the figure above angle POS is 60°, what is the ratio of OP to OQ   [#permalink] 11 Sep 2018, 04:35
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If in the figure above angle POS is 60°, what is the ratio of OP to OQ

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