Answer:
12.686cm
Step-by-step explanation:
By using pythagoras, we can find CB.
We know that [tex]a^2+b^2=c^2[/tex]
Therefore, [tex]12^2-6^2=CB^2[/tex]
[tex]CB=\sqrt{108}[/tex] (it has to be positive since it is distance)
now we look at triangle BCD and use SOH CAH TOA.
[tex]Sin55=CB/CD\\Therefore, CD= 12.686[/tex]