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A man is $180 \mathrm{~cm}$ tall and his eyes are $10 \mathrm{~cm}$ below the top of his head. In order to see his entire height right from toe to head, he uses a plane mirror kept at a distance of $1 \mathrm{~m}$ from him. The minimum length of the plane mirror required is
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The correct answer is:
$90 \mathrm{~cm}$
The minimum length of the plane mirror required for a man to see his entire height, from toe to head, is half his height. This is because the angle of incidence equals the angle of reflection in a plane mirror.
So, for a man who is $180 \mathrm{~cm}$ tall, the minimum length of the mirror required would be:
$180 / 2=90 \mathrm{~cm}$
This means that a mirror of at least $90 \mathrm{~cm}$ in length would be required for the man to see his entire height in the mirror. The distance of the man from the mirror and the position of his eyes do not affect the minimum length of the mirror required
So, for a man who is $180 \mathrm{~cm}$ tall, the minimum length of the mirror required would be:
$180 / 2=90 \mathrm{~cm}$
This means that a mirror of at least $90 \mathrm{~cm}$ in length would be required for the man to see his entire height in the mirror. The distance of the man from the mirror and the position of his eyes do not affect the minimum length of the mirror required
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