Solve Rectangular Room Mirror Homework Problem

[Shibos]

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.

 

[tiny-tim]

Welcome to PF!

Hi Shibos! Welcome to PF!

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 ) …

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!