Answer
$\textbf{F}$
Work Step by Step
Recall: $\cot\theta=\frac{1}{\tan\theta}$
Using degree mode and tangent function, we can find $\tan 27^{\circ}$ and then its inverse to get $\cot 27^{\circ}$.
$\cot 27^{\circ}=\frac{1}{\tan 27^{\circ}}\approx1.962610506$
The appropriate approximation is $\textbf{F}$.