Answer
$12.51^{\circ}$
Work Step by Step
Ensuring that the calculator is in degree mode, we enter $\cot^{-1} (4.5046388)$ as $\tan^{-1} (\frac{1}{4.5046388})$ into the calculator and solve:
$\tan^{-1} (\frac{1}{4.5046388})\approx12.51^{\circ}$