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Question Number 38235 by NECx last updated on 23/Jun/18

A man 2m 50cm tall stands a  distance of 3m in front of a large  vertical plane mirror.  i)what is the shortest length of the  mirror that will enable the man see  himself fully?  ii)what is the answer of the above  if the man were 5m away?

$${A}\:{man}\:\mathrm{2}{m}\:\mathrm{50}{cm}\:{tall}\:{stands}\:{a} \\ $$$${distance}\:{of}\:\mathrm{3}{m}\:{in}\:{front}\:{of}\:{a}\:{large} \\ $$$${vertical}\:{plane}\:{mirror}. \\ $$$$\left.{i}\right){what}\:{is}\:{the}\:{shortest}\:{length}\:{of}\:{the} \\ $$$${mirror}\:{that}\:{will}\:{enable}\:{the}\:{man}\:{see} \\ $$$${himself}\:{fully}? \\ $$$$\left.{ii}\right){what}\:{is}\:{the}\:{answer}\:{of}\:{the}\:{above} \\ $$$${if}\:{the}\:{man}\:{were}\:\mathrm{5}{m}\:{away}? \\ $$

Commented by MrW3 last updated on 23/Jun/18

the shortes length of mirror so that  the man can see himself fully is  half of the length of the man, no  matter how far away he stands from  the mirror.

$${the}\:{shortes}\:{length}\:{of}\:{mirror}\:{so}\:{that} \\ $$$${the}\:{man}\:{can}\:{see}\:{himself}\:{fully}\:{is} \\ $$$${half}\:{of}\:{the}\:{length}\:{of}\:{the}\:{man},\:{no} \\ $$$${matter}\:{how}\:{far}\:{away}\:{he}\:{stands}\:{from} \\ $$$${the}\:{mirror}. \\ $$

Commented by NECx last updated on 23/Jun/18

please give a diagrammatic  representation if possible.  Thanks in advance.

$${please}\:{give}\:{a}\:{diagrammatic} \\ $$$${representation}\:{if}\:{possible}. \\ $$$${Thanks}\:{in}\:{advance}. \\ $$

Commented by MrW3 last updated on 23/Jun/18

Commented by NECx last updated on 23/Jun/18

Thank you so much.The diagram  best explains it.

$${Thank}\:{you}\:{so}\:{much}.{The}\:{diagram} \\ $$$${best}\:{explains}\:{it}. \\ $$

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