Yes. If you look at the Before/After diagram, then you will notice there are 3 limbs in this example: 1, 2, 3. If you create a vector for each limb (magnitude is the length of the limb, and the rotation is the rotation of the limb). You could do E = vec1 + vec2 + vec3.

To be more explicit, if you assume the root starts at <0,0>, then you could compute E as follows: E = lengthOfLimb(1) * rotationMatrix(45deg) * <1,0> + lengthOfLimb(2) * rotationMatrix(15deg) * <1,0> + lengthOfLimb(3) * rotationMatrix(-60deg) * <1,0>. Does this make sense? Does this help?