$(a)\;28 \\ (b)\;30 \\ (c)\;32 \\ (d)\;34 $

In $\Delta CBA$

$\angle A=30^{\circ}$

$\tan 30 =\large\frac{x}{AB}$

$\large\frac{1}{\sqrt 3} =\frac{x}{.2}$

$\therefore x =\large\frac{.2}{\sqrt 3}$

For every distance x a reflection takes place.

$\therefore $ number of reflections $ = \large\frac{2 \sqrt 3}{x}$

$\qquad= \large\frac{2 \sqrt 3 \times \sqrt 3 }{0.2}$

$\qquad=30$

Hence b is the correct answer.

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