Without Using a Calculator, Give the Exact Trigonometric Function Value $\frac { 8 \sqrt { 6 } } { 3 }$

Multiple Choice

Without using a calculator, give the exact trigonometric function value with rational denominator.
-Find the exact value of x in the figure.

A) $\frac { 8 \sqrt { 6 } } { 3 }$
B) $31 \sqrt { 6 }$
C) $\frac { 26 \sqrt { 3 } } { 3 }$
D) $\frac { 32 \sqrt { 6 } } { 3 }$