The problem involves a man who is 160 cm tall, with his eyes positioned 150 cm above the floor, looking at his image in a plane mirror. The questions focus on determining the height of the mirror and the distance from the bottom edge of the mirror to the floor in order for him to see his feet and his entire image.
Some participants have offered guidance on the laws of reflection and the geometric relationships involved. There is an ongoing exploration of how to calculate the necessary measurements for the mirror's height and position, with no explicit consensus reached yet.
Participants mention the need for a diagram and the importance of understanding the angles involved in reflection. There is a reference to the time it takes for attachments to appear in the thread, indicating a potential delay in sharing visual aids.
I can't see the picture.DanicaK said:Here it is.
Can you state the laws of reflection?DanicaK said:I know the things you said, but ...
Distance between foot to eye is 150 cm.To see the foot, lower edge of the mirror should be at a height equal to half of this distance.DanicaK said:I can't solve it yet.
DanicaK said:I can't solve it yet.
That is a key part of the solution. If the angles are the same, what does that say about the vertical distances (with regard to each other)?DanicaK said:The angle between the incoming ray and the normal of the mirror is the same as the angle between the normal and the reflected ray.