Help finding length of CD

[HansMat]

Hi, I found the length of AC but having some trouble figuring out how to find the length of CD. Could someone please help me figure it out?
Thanks.

 

[Dr.Peterson]

Hi, I found the length of AC but having some trouble figuring out how to find the length of CD. Could someone please help me figure it out?
Thanks.

Look for a pair of parallel lines (which don't look parallel in the picture). Then draw another line, perpendicular to both, which will make a useful triangle. (I don't find AC useful in this part.)

 

[Deleted member 4993]

Hi, I found the length of AC but having some trouble figuring out how to find the length of CD. Could someone please help me figure it out?
Thanks.

Please show us your work for solving for the length of AC.

Is the figure shown should be assumed to be planar figure?

 

[Steven G]

The measure of angle C is 90^o. Angle C is being cut into two smaller angles because of line segment AC. What are their measures, especially angle ACD.
Then using a similar method like you did for the 1st part you can find CD

 

[tri]

∠CAD = 48° (Angle sum property of Quadrilateral).
AC has already been approximated,
CD can be approximated similarly [using sin(48°)].