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a man is 180 cm tall and his eyes are 10cm below the top of his head. In order to see his entire height right from toe to his head , he uses a plane mirror kept at a distance of 1 m from him. The minimum length of the plane mirror required is

a man is 180 cm tall and his eyes are 10cm below the top of his head. In order to see his entire height right from toe to his head , he uses a plane mirror kept at a distance of 1 m from him. The minimum length of the plane mirror required is

Grade:12

2 Answers

Vikas TU
14149 Points
6 years ago
We can see in the figure if U draw:
HF = height of the man  = 180 cm
E = Eye of human i.e. HE = 10 cm
Here it can easily be noticed that AE=AH=PO
BE=OQ=BF
Due to reflection, we need the mirror of the length i.e. PQ i.e. HF/2 = 90cm
Kushagra Madhukar
askIITians Faculty 628 Points
3 years ago
Dear student,
Please find the solution to your problem.
 
If we draw a figure:
HF = height of the man  = 180 cm
E = Eye of human i.e. HE = 10 cm
Here it can easily be noticed that AE = AH = PO
BE = OQ = BF
Due to reflection, we need the mirror of the length i.e. PQ i.e. HF/2 = 90cm
 
Thanks and regards,
Kushagra

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