Length of Segment BD in Triangle via Angle Bisector Theorem

In triangle ABC, angle A measures 30 degrees, angle B measures 60 degrees, and side AC is 8 units long. Point D lies on side BC such that AD is the angle bisector of angle A. What is the length of segment BD?

Use the angle bisector theorem which states that the ratio of the lengths of the two segments created by the angle bisector is equal to the ratio of the lengths of the opposite sides.