SAT Math Practice Question #29509 - SATify | SATify

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SAT Math Practice Question #29509 - SATify | SATify

#29509

geometry

trigonometry

hard

150 sec

Right triangle $A C D$ with right angle at $C$ is constructed outwards on the hypotenuse $\overline{A C}$ of right triangle $A BC$ . Given $∠ B A C = 3 0^{\circ}$ and $BC = 2$ . If $A D = 2 \cdot C D$ , what is $tan (∠ B A D)$ ?
.

A.

$\frac{1}{2}$

B.

$\frac{3}{3}$

C.

$1$

D.

$3$

E.

$2$