Wacky trig. I am totally lost.

[shyboyswin]

Intersecting triangles.

Homework Statement

Find x

http://img177.imageshack.us/img177/3043/trighj0.png

Homework Equations

trig and inverse trig functions?

The Attempt at a Solution

I have no idea how to solve this. When I try and use the trig that I know to find the lengths, I also end up having to depend on other variables.

The only thing I was able to find out is that the angle opposite the 12 is twice the that of the 6.

 

[Dick]

The TANGENT of the angle opposite 12 is twice the tangent of the angle opposite 6, if that's what you mean. But no trig necessary here. It's all similar triangles. Write down some relations you get from similarity.

 

[shyboyswin]

Oh. Thanks for the tip. I got it now.