Answer
$13.3^{\circ}$
Work Step by Step
$\cos\theta=0.9730$ can be rearranged as $\theta=\cos^{-1} 0.9730$.
Ensuring that the calculator is in degrees, we type $\cos^{-1} 0.9730$ into the calculator and press enter:
$\theta=\cos^{-1} 0.9730\approx13.3^{\circ}$.