Question

You are 1.9 m tall and stand 3.6 m from a plane mirror that extends vertically upward from the floor. On the floor 1.1 m in front of the mirror is a small table, 0.60 m high. What is the minimum height (in meters) the mirror must have for you to be able to see the top of the table in the mirror?

Answer 1

ans)

froma bove daat that

he distance from your eye to the top of the table = 1.9 - 0.6

                                                                           =  1.3 m

therefore ,    H + h =1.3 m   ........... (1)

from figure,

We also know that h / H = 1.1 /3.6 (ratio of vertical and horizontal sides)

               H = (3.272) h   ........... (2)

substitute the eq (2) in eq (1), we get        

        (3.272) h + h = 1.3

           h =0.304 m

hence ,

the height of the mirror = the height of the table + h

                                  = 0.6 + 0.304

                                    = 0.904 m