In the diagram, triangle ABE, triangle BCE and triangle CDE are right-angled, with angle AEB=angle BEC = angle CED = 60 degrees and AE = 36. Find CD.
These 3 triangles are similar.
All three triangles are 30-60-90 which means that the length of a short leg is half of a hypotenuse.
ED = 36 / 23 = 4.5
CD = 4.5 * tan(60) = 7.794228634