Answer
$$\theta = 29.89 ^o$$
Work Step by Step
$\theta = \angle B$
$$cos \space \theta = \frac{a^2 + c^2 - b^2}{2ac}$$ $$cos \space \theta = \frac{(68.01)^2 + (42.15)^2 - (37.83)^2}{2(68.01)(42.15)}$$ $$cos \space \theta \approx 0.867027$$ $$\theta = cos^{-1} \space 0.867027 = 29.89 ^o$$
