#### Answer

$$\theta\approx22.6^\circ$$

#### Work Step by Step

$$\theta=\arccos0.92341853$$
Similarly, $$\theta=\cos^{-1}0.92341853$$
Now we use the calculator to calculate for $\theta$.
However, as the question asks for the value in decimal degrees, do not forget to switch the calculator to the DEG environment.
Using calculator, I get $$\theta\approx22.6^\circ$$