OK first of all, I'm not looking for someone to give me the answer to my homework. I just want to know if this is possible or our maths lecturer has made a mistake. 

The question is find the length of $\text{BD}$. I've worked out the length of $\text{CB}$ is $11.97\text{cm}$, but that's as far as I've gotten. Am I right in thinking to determine $\text{BD}$ I need another angle or length in the triangle on the right. I also realised this is not to scale but this is the way it was given to us.

[![enter image description here](https://i.stack.imgur.com/5Ijmk.png)](https://i.stack.imgur.com/5Ijmk.png)

Again, I'm not looking for the answer, I just want to know if it's possible, thank you.