Rear window of a car has a size of 120 × 45 cm 2 . The driver sits at a distance L = 2 m from the rear window. What should be the minimum size of flat mirror, hanging at a distance of 0.5 m in front o

Question

Rear window of a car has a size of 120 × 45 cm 2 . The driver sits at a distance L = 2 m from the rear window. What should be the minimum size of flat mirror, hanging at a distance of 0.5 m in front of the driver so that he has the best view of road situation behind the car?

TestHub · Accepted Answer

The window is 2.5 m in front of the mirror, so its image is 2.5 m behind the mirror; the driver's eye is 0.5 m in front of the mirror, so the eye-to-image distance is 3 m.

$\frac{0.5}{3} = \frac{y}{0.45} \Rightarrow y = 7.5 cm$

$\frac{0.5}{3} = \frac{x}{1.2} \Rightarrow x = 20 cm$

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