Question 192
Two mirrors form an angle of $30^{\circ}$ at the point $V$. A ray of light starts from a point $S$ parallel to one of the mirrors and is reflected by the other mirror at point $A$, as shown in the figure. After a certain amount of reflections, the ray returns to $S$.
If $A S$ and $A V$ are both 1 meter long, what is the length in meters of the path covered by the light ray?
A) 2
B) $2+\sqrt{3}$
C) $1+\sqrt{2}+\sqrt{3}$
D) $\sqrt{2}(1+\sqrt{3})$
E) $5 \sqrt{3}$
If $A S$ and $A V$ are both 1 meter long, what is the length in meters of the path covered by the light ray?
A) 2
B) $2+\sqrt{3}$
C) $1+\sqrt{2}+\sqrt{3}$
D) $\sqrt{2}(1+\sqrt{3})$
E) $5 \sqrt{3}$