From the triangle above, we can find the length of the dotted line, 0, by pythagorean theorem.

This (1/2)

^{2}+ O

^{2}= 1

^{2}

=

(1/4) + O

^{2}= 1

O = Sqrt(1-(1/4)) = sqrt(3/4) = sqrt(3)/2

The new angle at the top of the triangle can also be found, since all angles add up to 180, we get:

60 + y + 90 = 180

and so y=30 , exactly half of 60.

in degrees this is 30*(pi/180) = Pi/6

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