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Line OP is drawn on the coordinate axes as shown. What is the value

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Math Expert
Joined: 02 Sep 2009
Posts: 59561
Line OP is drawn on the coordinate axes as shown. What is the value  [#permalink]

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20 Feb 2018, 23:21
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Difficulty:

35% (medium)

Question Stats:

70% (01:10) correct 30% (01:04) wrong based on 39 sessions

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Line OP is drawn on the coordinate axes as shown. What is the value of a?

(1) OP = 6

(2) The angle formed by OP and the x-axis is 30°.

Attachment:

2018-02-21_1019.png [ 6.49 KiB | Viewed 508 times ]
Senior Manager
Joined: 17 Oct 2016
Posts: 305
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: Line OP is drawn on the coordinate axes as shown. What is the value  [#permalink]

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20 Feb 2018, 23:29
D
From question stem and figure we know that the height of P is 3.

From st1

When OP =6 we have the hypotenuse as 6 and small side as 3 in a right triangle. Hence the other side (a) can be found out. Sufficient

St2

Now the angle PO-x axis =30 degree. Hence OP-perpendicular line to X axis is 60 degree. Hence the triangle is a 30-60-90 right triangle with one side as 3. Hence we can find a. Sufficient

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Joined: 23 Sep 2016
Posts: 232
Re: Line OP is drawn on the coordinate axes as shown. What is the value  [#permalink]

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21 Feb 2018, 23:30
Bunuel wrote:

Line OP is drawn on the coordinate axes as shown. What is the value of a?

(1) OP = 6

(2) The angle formed by OP and the x-axis is 30°.

Attachment:
2018-02-21_1019.png

yes i think answer can be D and E because i had read some where that you can't trust diagram and their is no information whether line passes through origin and this is very crucial information. If Diagram is correct the answer must be D as from a we can find through distance formula and from B we can find out the length by 30-60-90 triangle.
Re: Line OP is drawn on the coordinate axes as shown. What is the value   [#permalink] 21 Feb 2018, 23:30
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