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IP You hold a small plane mirror 0.50 m in front of your

Chapter 26, Problem 14P

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QUESTION:

You hold a small plane mirror \(0.50 \mathrm{~m}\) in front of your eyes, as shown in Figure 26–44 (not to scale). The mirror is \(0.32 \mathrm{~cm}\) high, and in it you see the image of a tall building behind you.

(a) If the building is \(95 \mathrm{~m}\) behind you, what vertical height of the building, H, can be seen in the mirror at any one time?

(b) If you move the mirror closer to your eyes, does your

answer to part (a) increase, decrease, or stay the same? Explain.

Equation Transcription:

     

     

     

Text Transcription:

0.50 m      

0.32 cm    

95 m    

Questions & Answers

QUESTION:

You hold a small plane mirror \(0.50 \mathrm{~m}\) in front of your eyes, as shown in Figure 26–44 (not to scale). The mirror is \(0.32 \mathrm{~cm}\) high, and in it you see the image of a tall building behind you.

(a) If the building is \(95 \mathrm{~m}\) behind you, what vertical height of the building, H, can be seen in the mirror at any one time?

(b) If you move the mirror closer to your eyes, does your

answer to part (a) increase, decrease, or stay the same? Explain.

Equation Transcription:

     

     

     

Text Transcription:

0.50 m      

0.32 cm    

95 m    

ANSWER:

Step 1 of 3

(a)

Here we need to determine the vertical height  of the building that can be seen in the mirror. The building is behind the person holding mirror. The mirror is at in front of the eyes and the mirror at height .

By taking the height to distance ratio of mirror and building, we have

                                

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