Question

Four identical mirrors are used to form a square arrangement as shown in top view of the figure. A ray starts from mid-point m of mirror AD and after two reflections, reaches corner D, then angle$\theta =co{t}^{-1}n$.Here n is

Answer 1

$tan\theta =\frac{2x}{a}=\frac{a-x}{y}=\frac{a}{a-y}$
$cot\theta =\frac{3}{4}=\theta =co{t}^{-1}\left(0.75\right)$