Concave Mirror Lens Ray Diagram

AI Thread Summary
To see her full image in a plane mirror, the minimum height of the mirror should be half the height of the person, which is 0.81 m. The mirror should be positioned so that the top edge is 15 cm above eye level, requiring it to be placed approximately 1.77 m above the floor. The ray diagram involves two key rays: one from the eyes to the top of the head and another from the eyes to the feet, reflecting at equal angles. Using similar triangles can help determine the correct dimensions and placement. Understanding the principles of light reflection is essential for solving this problem effectively.
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Homework Statement



A person 1.62 m tall wants to be able to see her full image in a plane.
a) What must be the minimum height of the mirror?
b) How far above the floor should it be placed, assuming that the top of the person's head is 15 cm above her eye level? Draw a ray diagram.

Homework Equations



None required...

The Attempt at a Solution



I did 1.62 / 2 but that's too easy to be right. I know the ray diagram would be a concave mirror though.
 
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The question states a plane (ie flat) mirror.
All you need to know is that the light reflects from the mirror at the same angle to the normal that it arrived.
You have two limiting rays, one from the eyes to the top of the head, and one from the eyes to the feet.
Sketch the diagram and start playing with similair triangles.
 
I'm assuming I need to use angles but I really can't tell what is is from the sketch.
 

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