Solve Rectangular Room Mirror Homework Problem

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To solve the rectangular room mirror problem, visualize the reflection of the room as if the mirror were a window. This approach allows for straight-line diagrams, simplifying the analysis of how light travels from the person's eyes to the image of the back wall. The person standing 0.5 m in front of the mirror can see both ends of the back wall, indicating that the mirror's width and the distance from the person to the mirror are crucial for determining the wall's length. By applying geometric principles to the reflection, one can calculate the necessary dimensions. Understanding this concept is key to finding the solution.
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Homework Statement



A rectangular room is 6 m long. A mirror 0.35 m wide is hung on the wall horizontally at one end of the room. A person standing 0.5 m in front of the mirror can just see both ends of the back wall in the mirror. What is the length of the back wall.

I don't want the answer I just want to know how to get it. explain everything please!

Homework Equations



N/A

3. The Attempt at a Solution [/b

Don't have a clue how to attempt it.
 
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Welcome to PF!

Hi Shibos! Welcome to PF! :smile:

The best way to solve (flat) mirror questions is usually to draw the reflection (the image) of the room on the "wrong" side of the mirror (so that the mirror turns into a window :wink:) …

that means that instead of bent lines in your diagram, you can just draw straight lines, from the eye (on the "right" side) to the image! :biggrin:
 

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