View source for 2005 CEMC Gauss (Grade 7) Problems/Problem 3

==Problem==

<asy>
//make the picture small and square
size(80,80);
//draw an arc from 0 to 75 degrees of radius 1 centered at the origin
draw(arc((0,0),1,0,75));
//draw a line with an arrow on the end pointing to 25 degrees (scale it down by .95 so that it stays inside the arc)
//dir(25) is a unit vector pointing 25 degrees
draw((0,0)--scale(.95)*dir(25),Arrow);
//put a label at the end of the 75 degree unit vector (and position it out 75 degrees)
MarkPoint("9",dir(75),dir(75));
//put a label at the end of the 75 degree unit vector (rotate label 75 degrees to create a tick)
MarkPoint(75,"-",scale(.85)*dir(75),dir(75));
MarkPoint("9.2",dir(60),dir(60));
MarkPoint(60,"-",scale(.85)*dir(60),dir(60));
MarkPoint("9.4",dir(45),dir(45));
//put a label at the end of the 45 degree unit vector - use NE to move it slightly NorthEast of this point (or use dir(45))
MarkPoint(45,"-",scale(.85)*dir(45),NE);
MarkPoint("9.6",dir(30),dir(30));
MarkPoint(30,"-",scale(.85)*dir(30),dir(30));
MarkPoint("9.8",dir(15),dir(15));
MarkPoint(15,"-",scale(.85)*dir(15),dir(15));
//put a label at the end of the 0 degree unit vector - use E to move it slightly East of this point (or use dir(0))
MarkPoint("10",dir(0),E);
MarkPoint(0,"-",scale(.85)*dir(0),dir(0));</asy>

Contestants on "Gauss Reality TV" are rated by an applause metre.  In the diagram, the arrow for one of the contestants is pointing to a rating closest to:

<math>\text{(A)}\ 9.4 \qquad \text{(B)}\ 9.3 \qquad \text{(C)}\ 9.7 \qquad \text{(D)}\ 9.9 \qquad \text{(E)}\ 9.5</math>

==Solution==

Since the arrow is pointing between <math>9.6</math> and <math>9.8</math>, it is pointing to a rating closest to <math>9.7</math>. 

The answer is <math>C</math>.

==See Also==

* [[2005 CEMC Gauss (Grade 7)]]
* [[2005 CEMC Gauss (Grade 7) Problems]]
* [[2005 CEMC Gauss (Grade 7) Problems/Problem 4]]