SOLUTION
Consider the sketch sown below
Using tangent ratio it follows
[tex]\tan30=\frac{12}{x}[/tex]
This gives
[tex]\begin{gathered} x=\frac{12}{\tan30} \\ x=\frac{12}{\frac{1}{\sqrt{3}}} \\ x=12\sqrt{3} \end{gathered}[/tex]
Therefore the lengths of each tangent is 12 times square root of 3
