Solve Rectangular Room Mirror Homework Problem

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SUMMARY

The discussion focuses on solving a geometry problem involving a rectangular room measuring 6 meters in length and a horizontally hung mirror that is 0.35 meters wide. A person standing 0.5 meters in front of the mirror can see both ends of the back wall, prompting the question of how to determine the length of that wall. The recommended approach is to visualize the room's reflection on the opposite side of the mirror, simplifying the problem by allowing the use of straight lines from the observer's eye to the reflected image.

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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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