Respuesta :

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]