A person's eye level is 1.5m. He stands in front of a 0.3m long plane mirror which is 0.8m above the ground. The height of the image he sees of himself is:A. 1.5mB. 1.0mC. 0.8mD. 0.6m

To determine the height of the image he sees of himself in the plane mirror, we can use the concept of reflection.

Let's assume the person's height is 'H' meters.

The mirror will create a virtual image of the person behind the mirror, at the same distance from the mirror as the person is standing in front of it. The image will be a vertical reflection of the person, and its height will be equal to the person's height.

Given information:

Person's eye level (height) = 1.5m
Height of the plane mirror above the ground = 0.8m
The distance from the person's eye level to the mirror will be: 1.5m + 0.8m = 2.3m

Now, the total height from the person's eye level to the image in the mirror is 2 times the distance from the person to the mirror (since the image is a vertical reflection of the person).

Height of the image = 2 * 2.3m = 4.6m

However, we need to consider that the person's height is from the ground level, not from the mirror level. So we need to subtract the height of the mirror from the calculated height of the image.

Height of the image above the ground = 4.6m - 0.8m = 3.8m

Therefore, the height of the image he sees of himself in the plane mirror is 3.8 meters.

The correct answer is:
C. 3.8m