GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In the coordinate system above, line segment OR is rotated clockwise t
[#permalink]
08 Dec 2022, 11:37
08 Dec 2022, 11:37
Expert Reply
6
Bookmarks
00:00
Question Stats:
48% (01:44) correct
51% (01:43) wrong based on 43 sessions
Hide Show timer Statistics
Attachment:
GRE In the coordinate system above, line segment OR .jpg [ 14.2 KiB | Viewed 3720 times ]
In the coordinate system above, line segment OR is rotated clockwise through an angle of 120° to position OS (not shown).
Quantity A |
Quantity B |
The x-coordinate of point S |
\(\sqrt{3}\) |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: In the coordinate system above, line segment OR is rotated clockwise t
[#permalink]
11 Dec 2022, 04:00
11 Dec 2022, 04:00
Expert Reply
OE
Drawing a horizontal line from point R to the positive y-axis forms a right triangle. The length of the leg that sits on the y-axis is \(\sqrt{3}\), and the horizontal leg you just drew has length 1. The ratio of the legs is 1 to \(\sqrt{3}\), so you have a 30-60-90 right triangle. Therefore, the hypotenuse (OR) has length 2, and the angle between OR and the positive y-axis is 30 degrees. The first quadrant includes 90 degrees total, so rotating OR 120 degrees clockwise puts OS on the positive x-axis, with a length of 2. Therefore, the x-coordinate of OS is 2, which is slightly larger than \(\sqrt{3}\), which is approximately 1.7. The answer is choice (A).
Drawing a horizontal line from point R to the positive y-axis forms a right triangle. The length of the leg that sits on the y-axis is \(\sqrt{3}\), and the horizontal leg you just drew has length 1. The ratio of the legs is 1 to \(\sqrt{3}\), so you have a 30-60-90 right triangle. Therefore, the hypotenuse (OR) has length 2, and the angle between OR and the positive y-axis is 30 degrees. The first quadrant includes 90 degrees total, so rotating OR 120 degrees clockwise puts OS on the positive x-axis, with a length of 2. Therefore, the x-coordinate of OS is 2, which is slightly larger than \(\sqrt{3}\), which is approximately 1.7. The answer is choice (A).
Re: In the coordinate system above, line segment OR is rotated clockwise t
[#permalink]
21 Sep 2025, 00:27
21 Sep 2025, 00:27
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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.
Thanks to another GRE Prep 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.
