Trapezoid A B C D has \overline{A D} \| \overline{B C}, B D=1, \angle D B A=23^{\circ}, and \angle B D C=46^{\circ}. The ratio B C: A D is 9: 5. What is C D ?
Answer Choices
A. \dfrac{7}{9}
B. \dfrac{4}{5}
C. \dfrac{13}{15}
D. \dfrac{8}{9}
E. \dfrac{14}{15}