Given a regular triangular frustum $A B C - A _ { 1 } B _ { 1 } C _ { 1 }$ with volume $\frac { 52 } { 3 }$, $A B = 6$, $A _ { 1 } B _ { 1 } = 2$, then the tangent of the angle between $A _ { 1 } A$ and plane $A B C$ is ( )\\
A. $\frac { 1 } { 2 }$\\
B. 1\\
C. 2\\
D. 3