<p>Well, since nobody tried this--I'll just give the answer--and how to solve it.</p>
<p>As a ball rolls down a 60 degree incline, when it reaches the bottom it will be "nestled" in the 120 degree angle at the bottom at the point that it first reaches the ground. If you draw a line to the ground from the center of the ball, the length of that line will be 1 (doesn't matter if it's inches, feet, meters, whatever). This also forms a 90 degree angle. Drawing another line from the center point to the point where the incline meets the ground will exactly intersect the angle----it has to since you can also draw a line from the center of the circle to the incline line and it has to also be a 90 degree angle. Thus a triangle of 30 degrees, 60 degrees, and 90 degrees is formed.</p>
<p>Everyone knows (at least you should know) that all 30-60-90 degree triangles have ratios of 1 to 2 to (square root of 3). However, in this case the length of 1 is where the (square root of 3) would be, thus the ratio of the short side--the side we are trying to find in this triangle would be 1 divided by (square root of 3). Another way of expressing this is (square root of 3) divided by 3, which is the correct answer.</p>
<p>sorry, the brian--I suppose I should post a website with a drawing--but since I usually log onto this site from my work--at breaks or during lunch--I really don't have the time to spend setting up a website just to demonstrate this one problem. I'll see if I can maybe do this on the weekend if you're actually interested in the problem--if you are interested, let me know.</p>
<p>I agree with Earth-dragon. Unless you are applying to a school where a difference of 30 points makes a difference, it's really meaningless to retake--I did it just because I was there (at the test center) anyway. </p>
<p>In 99 out of 100 cases, there's no reason to retake it if you did well (for example, 750+) already. Concentrate on your essay, classes and other tests instead.</p>