Question 16Points $A$ and $C$ lie on a circle centered at $O,$ each of $\overline{BA}$ and $\overline{BC}$ are tangent to the circle, and $\triangle ABC$ is equilateral. The circle intersects $\overline{BO}$ at $D.$ What is $\dfrac{BD}{BO}?$$\dfrac{\sqrt2}{3}$$\dfrac12$$\dfrac{\sqrt3}{3}$$\dfrac{\sqrt2}{2}$$\dfrac{\sqrt3}{2}$