The figure shows an overhead view of a corridor with a plane mirror $MN$ mounted at one end. A burglar $B$ sneaks along the corridor directly towards the centre of the mirror. If $d = 3 m$ , how far from the mirror will the burglar be when the security guard $S$ can first see him in the mirror?

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tan ⁡ θ = x MN 2 (in the smaller triangle) tan ⁡ θ = 3 m 3 m (in the bigger triangle) ∴ x 1.5 = 3 3 ∴ x = 1.5 m

Physics - Geometrical Optics Question with Solution | TestHub

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