Question

What is the measure of the angle in standard position? photo: http://puu.sh/3bnMn.jpg

Answer 1

http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm

Answer 2

Options are

30 degrees
330 degrees
-60 degrees
-30 degrees

I'd say the answer is 330, but how do the fractions come in to this?

Answer 3

You're given a point. Using that point you can find the angle.

Answer 4

Use the x and y coordinates to find out the lengths of the sides of the triangle.

Answer 5

Tan(x) = (1/2)/(sqrt(3))/2) = 1/sqrt(3) = sqrt(3)/3

Answer 6

x = Tan^-1(sqrt(3)/3) = 30 degrees

Answer 7

Is it 30 or -30 because it's clockwise?

Answer 8

Well right now as far as we're concerned it's just 30, but we're not done yet.

Answer 9

okay