There are $12$ similar triangles with angles $30°, 60°$ and $90°$. In the diagram below you can see how the first three triangles are arranged. They are arranged so all of them have one of their points at the point $O$. One of the sides of the $(n+1)$th triangle is the same length as the $n$th triangle’s hypotenuse, and they are arranged so those two sides line up.
If the side $OX$ has length $1$, then what is the area of all of the triangles added together? Below is the image: http://www.ucl.ac.uk/clie/placement-tests/UPC/Maths-2/images/question21a.jpg
I only labeled the angles, other than that I have no clue as to how to solve this problem.