Question Number 38235 by NECx last updated on 23/Jun/18
$${A}\:{man}\:\mathrm{2}{m}\:\mathrm{50}{cm}\:{tall}\:{stands}\:{a} \\ $$$${distance}\:{of}\:\mathrm{3}{m}\:{in}\:{front}\:{of}\:{a}\:{large} \\ $$$${vertical}\:{plane}\:{mirror}. \\ $$$$\left.{i}\right){what}\:{is}\:{the}\:{shortest}\:{length}\:{of}\:{the} \\ $$$${mirror}\:{that}\:{will}\:{enable}\:{the}\:{man}\:{see} \\ $$$${himself}\:{fully}? \\ $$$$\left.{ii}\right){what}\:{is}\:{the}\:{answer}\:{of}\:{the}\:{above} \\ $$$${if}\:{the}\:{man}\:{were}\:\mathrm{5}{m}\:{away}? \\ $$
Commented by MrW3 last updated on 23/Jun/18
$${the}\:{shortes}\:{length}\:{of}\:{mirror}\:{so}\:{that} \\ $$$${the}\:{man}\:{can}\:{see}\:{himself}\:{fully}\:{is} \\ $$$${half}\:{of}\:{the}\:{length}\:{of}\:{the}\:{man},\:{no} \\ $$$${matter}\:{how}\:{far}\:{away}\:{he}\:{stands}\:{from} \\ $$$${the}\:{mirror}. \\ $$
Commented by NECx last updated on 23/Jun/18
$${please}\:{give}\:{a}\:{diagrammatic} \\ $$$${representation}\:{if}\:{possible}. \\ $$$${Thanks}\:{in}\:{advance}. \\ $$
Commented by MrW3 last updated on 23/Jun/18
Commented by NECx last updated on 23/Jun/18
$${Thank}\:{you}\:{so}\:{much}.{The}\:{diagram} \\ $$$${best}\:{explains}\:{it}. \\ $$