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A man stands in a room with his eyes at centre of the room .the height of the ceiling is H. The length of the shortest plane mirror fixed on the wall in front of the man .so that the man can see the full image of wall behind him is

A man stands in a room with his eyes at centre of the room .the height of the ceiling is H. The length of the shortest  plane mirror fixed on the wall in front of the man .so that the man can see the full image of wall behind him is
 

Grade:12

1 Answers

Vikas TU
14149 Points
3 years ago
Hiii 
Use similarity of Triangle . 
I can not draw image here , as i am not allowed to do so, Just 
In between it is mirror, and image of wall in the mirror.
Tri(OAB) and Tri (OA’ B’ ) are similar
A’B’/AB = 1/3
OA’ / OA = 1/3
A’C’/AC = 1/3 = A’B’ /AB 
m/h = 1/3 
m = h/3 
 

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