Answer
$$\theta \approx 40^o$$
Work Step by Step
1. Use the law of sines to calculate $\theta$:
$$\frac{sin \space 67^o}{80.2} = \frac{sin \space \theta}{56.3}$$ $$\frac{sin \space 67 ^o}{80.2} \times 56.3 = sin \space \theta$$ $$\theta = sin^{-1}(\frac{sin \space 67 ^o}{80.2} \times 56.3) \approx 40^o \space (Calculator)$$
