In a dress store you are hired to design a series of fitting rooms with flat mirrors. To optimize costs you do not want

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In a dress store you are hired to design a series of fitting
rooms with flat mirrors. To optimize costs you do not want to
make too big and you want to make some platforms where people will
climb to observe the outfit they wear and also generate an adequate
distance from the mirror so that customers can see their whole
body, if it is known that people who attend the store have heights
between 1.50 m and 1.90 m, and that their eyes are approximately 12
cm from the highest point of his head.
Establish a height for the platform, which will be placed 40 cm
from the mirror, the minimum placement and height of the mirror as
well as the height at which the mirror will be placed (from the
height of the platform).