SAT Math Practice Question #25070 - SATify | SATify

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SAT Math Practice Question #25070 - SATify | SATify

#25070

geometry

trigonometry

Relative Motion

hard

150 sec

Trapezoid $A BC D$ has $A D ∥ BC$ , $B D = 2$ , $∠ D B A = 3 0^{\circ}$ , and $∠ B D C = 6 0^{\circ}$ . The ratio $BC : A D = 7 : 3$ . What is $C D$ ?

A.

$\frac{5}{3}$

B.

$\frac{7}{3}$

C.

$\frac{8}{3}$

D.

$\frac{10}{3}$

E.

$\frac{11}{3}$