Two rays are drawn through a point A at an angle 30°. A point B is taken on one of them at a distance ‘a’ from the point A. A perpendicular is drawn from the point B to the other ray, and another perpendicular is drawn from its foot to A B to meet AB at another point from where the similar process is repeated indefinitely. The length of the resulting infinite polygonal line is
(a) a(2 + √3)
(b) a(2 – √3)
(c) a
(d) None of these