Size of Mirror

Q. A person $1.6\text{m}$ tall is standing at the centre between two walls $3\text{m}$ high. What is the minimum size of the plane mirror fixed on the wall in front of him, if the person wants to see the image of the full height of the wall behind him?

1. $0.8\text{m}$
2. $1\text{m}$
3. $1.5\text{m}$
4. $2.3\text{m}$

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

1. $180\text{cm}$
2. $90\text{cm}$
3. $85\text{cm}$
4. $170\text{cm}$

Q. A point object $O$ is placed in front of a plane mirror as shown in the figure. In order to see the image in mirror, the region where a person must place his eyes is best represented as:

1. 
2. 
3. 
4.