Answer
$29.506181^{\circ}$
Work Step by Step
Ensuring that the calculator is in degree mode, we enter $\cot^{-1} (1.7670492)$ as $\tan^{-1} (\frac{1}{1.7670492})$ into the calculator and solve:
$\tan^{-1} (\frac{1}{1.7670492})\approx29.506181^{\circ}$