Final answer:
The height of the child's image in a plane mirror will be the same as the child's actual height, which is (a) 0.7 meters.
Step-by-step explanation:
When an object is placed in front of a vertical plane mirror, the image produced is virtual, upright, and of the same size as the object. This concept is explained by the Law of Reflection, which states that the angle of incidence is equal to the angle of reflection. In this situation, the child's height is not influenced by the distance from the mirror.
Therefore, if the child is 0.7 meters tall, the image of the child in the mirror will also be 0.7 meters tall, irrespective of the mirror size or the child's distance from the mirror as long as the entire height of the child is visible.
The correct answer to the question is a) 0.7 meters.