FERMAT 1997 Problem 19

In the diagram, the equation of line AD is y=\sqrt3(x-1). BD bisects \angle{ADC}. If the coordinates of B are (p,q), what is the value of q?

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Answer Choices
A. 6
B. 6.5
C. \frac{10}{\sqrt3}
D. \frac{12}{\sqrt3}
E. \frac{13}{\sqrt3}