Question 60
In the unit square $ABCD$, the two rays from the vertex $A$ divide the right angle in three: the middle angle measures $30^\circ$ and the other two angles are of the same size. One of the rays intersects the side $BC$ at the point $T$. Find the length of the line segment $BT$.
(A) $\frac{1}{2}$
(B) $\frac{\sqrt{3}}{2}$
(C) $\frac{1}{3}$
(D) $\frac{\sqrt{3}}{3}$
(E) $\frac{\sqrt{2}}{2}$
(A) $\frac{1}{2}$
(B) $\frac{\sqrt{3}}{2}$
(C) $\frac{1}{3}$
(D) $\frac{\sqrt{3}}{3}$
(E) $\frac{\sqrt{2}}{2}$