Rear view mirror and field of view

In summary, the question is asking how much of the rear window a bus driver can see through a plane mirror placed at a certain distance in front of them, and it can be solved by drawing a scaled diagram and using similar triangles to calculate the range of angles that hit the mirror.
  • #1
Punch
44
0
A bus driver looks into a plane mirror 20 cm long which is placed 50 cm in front of him. If the rear window is 500 cm from the plane mirror, through what length of the rear window can he see whenever he looks into the mirror while driving?




I have thought about this question but am really stucked. I don't know where to begin the question or how to..
 
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  • #2


Draw a (scaled) diagram, it's all about what range of angles can hit the mirror - just a question of similair triangles
 
  • #3


is there no other way such as calculating it?
 
  • #4


You can calculate it once you understand the layout - that's where the diagram helps
 
  • #5


In short, i have to draw the diagram..
 
  • #6


Hello Punch,

While it may be possible to for some of us to visualise this problem mentally, you have said that you are finding it very difficult.

Even a rough drawing should help you to understand it better, and a more accurate scaled drawing would also let you make an approximate check on your calculation.
 

Related to Rear view mirror and field of view

1. What is the purpose of a rear view mirror?

The purpose of a rear view mirror is to provide the driver with a view of the area behind the vehicle, allowing them to monitor the movement of other vehicles and potential hazards while driving.

2. How does the field of view of a rear view mirror differ from that of a side mirror?

The field of view of a rear view mirror is wider than that of a side mirror, allowing the driver to see a larger area behind the vehicle. This is important for detecting vehicles approaching from the side or potential hazards in the blind spot.

3. What is the optimal position for a rear view mirror?

The optimal position for a rear view mirror is one that allows the driver to see the entire rear window while also minimizing the amount of glare from headlights behind the vehicle. This can be achieved by adjusting the mirror to a slight downward angle.

4. Can the field of view of a rear view mirror be adjusted?

Yes, most modern cars have rear view mirrors that can be adjusted to change the field of view. This allows the driver to customize the view to their preference and driving needs.

5. Is it necessary to use the rear view mirror while driving?

Yes, it is important to use the rear view mirror while driving as it allows the driver to have a better understanding of their surroundings and potential hazards. It is also a key component in safe lane changes and backing up.

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