Minimum distance to see floor reflection in mirror above head height

[Mina]

1. a person whose eyes are H=1.82m above the floor stands L=2..11m in front of a vertical plane mirror whose bottom edge is h= 49.5 cm above the floor, as seen in the figure below. what is the horizontal destance x to the base of the wall supporting the mirror of the nearest point on the floor that can be seen reflected in the mirror?

 

[Dale]

Hi Mina,

Welcome to PF. You need to show your work, that you at least attempted a solution.