Unsure of how to entitle this problem.

Okay, I have been ruminating over this problem for quite a while now and, to be frank, I am considerably exasperated. (Okay maybe that is a slight exaggeration). But I have decided to stop scratching my head in bewilderment and seek some help. Okay the problem goes as follows:

"Two beams, AB and CD, are parallel. Find the distance AE"

Problem2.png picture by Bashyboy - Photobucket

I couldn't upload the picture, it wouldn't let me, so hopefully this will link will work. I have not undergone any formal studying in the field of Geometry, so--if it's not too much to ask--could someone please give me detailed steps into this that would be greatly appreciated.