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Two rays are drawn through a Point A at ...

Two rays are drawn through a Point A at an angle of `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 AB to meet AB at another point from where the similar process is repeated indefinitely. The length of the resulting polygonal line is

A

`a`

B

`(2 + sqrt(3))a`

C

`(sqrt(2) + 3)a`

D

`(sqrt(2) + sqrt(3))a`

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