Optics mirrors problem with rearview of car

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SUMMARY

The discussion centers on a geometry problem involving optics and reflection in a car's rearview mirror. The key parameters include the distance of the eye from the mirror (40 cm), the length of the mirror (23 cm), and the distance of the car behind (4 meters). The conclusion drawn is that the eye can see the entire width of the car behind, but the calculations involving similar triangles are incorrect, as the ratios do not match (40/23 does not equal 4/2.5).

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  • Understanding of reflection laws in optics
  • Knowledge of similar triangles in geometry
  • Basic principles of perspective and viewing angles
  • Familiarity with distance measurement in practical scenarios
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  • Study the principles of optics, focusing on reflection laws
  • Learn about similar triangles and their applications in real-world problems
  • Explore practical examples of perspective in vehicle design
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Homework Statement


I'm riding my car. My eye is 40cm from the rearview mirror. I want to know if I can see the car behind me. The car behind me is 2.5m large. Can I entirely see the car behind me in his whole wideness? The mirror is 23 cm long. The car is 4 meters behind us.


Homework Equations


Reflection laws.
Similar triangles.


The Attempt at a Solution


So, I drew this triangle (look attachment). And found that the eye, from where he his, can see the whole car. But, the question is not too clear. Do you think my steps are good?
 

Attachments

  • Photo pour Yu2.jpg
    Photo pour Yu2.jpg
    7 KB · Views: 520
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Where is the 4 meters measured from, the eye or the 23 cm mirror ? I think you have the correct answer though, at least app[roximately.
 
Your diagram is confusing and not accurate. The triangles are not similar.
40/23 is not equal to 4/2.5
 

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