Answer
$12.733938^{\circ}$
Work Step by Step
Step 1: $\cos\theta=0.97540415$
Step 2: $\theta=\cos^{-1} 0.97540415$
Step 3: Using degree mode, we type $\cos^{-1} 0.97540415$ into the calculator and solve:
$\theta=\cos^{-1} 0.97540415=12.733938^{\circ}$