The image shows a mathematical problem involving a triangle labeled $\Delta ABC$, with sides $a = 6 \text{ cm}$, and variables $b$ and $c$. The question appears to involve the Law of Sines based on the usage of sine and angle relationships.

Let me summarize the steps involved:

1. Law of Sines: The formula being referenced is likely $\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$.
2. Given Data: One side of the triangle is labeled $a = 6 \text{ cm}$, and angles and other side lengths might need to be calculated using trigonometric functions like sine.
3. Equation Setup: There's an expression involving $\sin( \theta + \alpha )$, possibly referring to angle sum identities. The relationship between angles and sides is key to solving this.

Would you like a more detailed explanation of how to apply the Law of Sines to this problem, or help solving it based on any specific unknowns? Let me know if you need assistance with the next steps!