What is the length, in units, of segment CD? (Picture posted as reply)

Question

anonymous · Answer

attachment

anonymous · Answer

give me one minute something isnt coming out right

anonymous · Answer

Alright, thanks for trying. I'm thinking the measure of all the angels are "special right triangles" 45-45-90, if that helps

anonymous · Answer

bc is the adjacent side or opposite?

anonymous · Answer

if the triangle is a 45-45-90 triangle then using soh cah toa

sin(45)=7/hyp

7/sin(45)= hyp

Hypotenuse=9.90

anonymous · Answer

yes i am positive that this is the correct answer. I just checked it

phi · Answer

|dw:1338326313759:dw|
This looks more complicated than special triangles.   
However, you do have enough information to solve for the length of CD= (x+4) in the drawing.