Question

A boy is standing 4 meters from a plane mirror. How far and in which direction must he move so that he will be 4 meters from his image and 1 meter from his image simultaneously?

A) He should move 4 meters away from the mirror.

B) He should move 2 meters toward the mirror.

C) He should move 4 meters toward the mirror.

D) He should move 5 meters away from the mirror.

Answer 1

To be simultaneously 4 meters from his image and 1 meter from the mirror, the boy must move 2 meters toward the mirror since the image would then be 2 meters behind the mirror.

Step-by-step explanation:

The scenario presented in the question involves a boy standing in front of a plane mirror and trying to determine the distance he must move to be simultaneously 4 meters from his image and 1 meter from the mirror itself. A plane mirror always forms an image that is the same distance behind the mirror as the object is in front of it. In this case, for the boy to be 4 meters from his image in the mirror, he must stand 2 meters from the mirror, as the image will also be 2 meters behind the mirror, making the total distance between the boy and his image 4 meters. Therefore, since the boy is initially 4 meters from the mirror, he must move 2 meters toward the mirror to be at the correct position.