Answer
$\theta$ $\approx$ 30.50274879$^{\circ}$
Work Step by Step
$\sec$ $\theta$ = 1.1606249
Therefore:
$\cos$ $\theta$ = $\frac{1}{\sec\theta}$
$\cos$ $\theta$ = $\frac{1}{1.1606249}$
$\cos$ $\theta$ = 0.86160481
$\theta$ = $\cos$$^{-1}$ 0.86160481
Utilizing the calculator:
$\theta$ $\approx$ 30.50274879$^{\circ}$