In right triangles ABC and EDC, we have line segment BCD, AC is perpendicular to EC, BD = 10, CE = 8 and the measure of angle ACB = 30 degrees. What is the length of line segment AB?

(a) 2(sqrt{3})

(b) 3

(c) 3(sqrt{3})

(d) 6

I selected choice (d) but the book's answer is choice (a).