Mary is standing at a place such that she makes an angle of 42° to the right of the normal of a mirror. Where should Mary's mom stand so that she can best see Mary's reflection in the mirror?
At an angle of 42 degrees to the left of the normal. Because the law of reflection states that the angle of incidence is equal to the angle of reflection
Mary is standing at a place such that she makes an angle of 42° to the right of the normal of a mirror. Where should Mary's mom stand so that she can best see Mary's reflection in the mirror?
What exactly does the law of reflection state? http://www.physicsclassroom.com/class/refln/Lesson-1/The-Law-of-Reflection
damn you
To find the best position for Mary's mom to see her reflection in the mirror, we need to understand the principles of reflection in mirrors.
When light hits a mirror, it follows the law of reflection, which states that the angle of incidence (the angle between the incident light ray and the normal to the mirror) is equal to the angle of reflection (the angle between the reflected light ray and the normal to the mirror).
In this case, Mary is making an angle of 42° to the right of the normal of the mirror. If we consider the normal as a vertical line, Mary is standing to the right of it. To find the optimal position for Mary's mom, we need to determine where Mary's reflected image will appear.
To do this, we reflect Mary's position about the mirror. Draw a line from Mary's position to the mirror and extend it on the other side. This line represents the path of the reflected light. Now, draw a normal from this extended line to the mirror. The angle between this normal and the mirror is the angle of incidence for the reflected light.
Since the angle of reflection is equal to the angle of incidence, the best position for Mary's mom to see Mary's reflection is on the other side of the mirror, making the same 42° angle to the left of the normal as Mary is to the right.
So, Mary's mom should stand where her line of sight to Mary makes a 42° angle to the left of the normal of the mirror.