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# Image Size in a mirror A guy named Joe, who is 1.6 meters tall, enters a room in which someone has placed a large convex mirror with radius of curvature R equal to 30 meters. The mirror has been cut in half, so that the axis of the mirror is at ground level. (Figure 1)As Joe enters the room, he is 5 meters in front of the mirror, but he is looking the other way, so he fails to see it. When he turns around, he is startled by his own image in the mirror. Figure Mirror 1 of 2 ▼ ▼ Part A ▼ How far away does the image appear to Joe? Express your answer in meters, to three significant figures or as a fraction. ▸ View Available Hint(s) [ΕΑΣΦ Submit Part B Vim Submit 1 What is the image height yim that Joe sees in the mirror? Express your answer in meters, to two significant figures or as a fraction. ▸ View Available Hint(s) |VD ΑΣΦ 4 → ? Part C m ? Joe is so startled by his image that he falls forward. (Assume that his feet stay at the same position.) (Figure 2) m

# Image Size in a mirror A guy named Joe, who is 1.6 meters tall, enters a room in which someone has placed a large convex mirror with radius of curvature R equal to 30 meters. The mirror has been cut in half, so that the axis of the mirror is at ground level. (Figure 1)As Joe enters the room, he is 5 meters in front of the mirror, but he is looking the other way, so he fails to see it. When he turns around, he is startled by his own image in the mirror. Figure Mirror 1 of 2 ▼ ▼ Part A ▼ How far away does the image appear to Joe? Express your answer in meters, to three significant figures or as a fraction. ▸ View Available Hint(s) [ΕΑΣΦ Submit Part B Vim Submit 1 What is the image height yim that Joe sees in the mirror? Express your answer in meters, to two significant figures or as a fraction. ▸ View Available Hint(s) |VD ΑΣΦ 4 → ? Part C m ? Joe is so startled by his image that he falls forward. (Assume that his feet stay at the same position.) (Figure 2) m

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### Image Size in a Mirror **Scenario:** A guy named Joe, who is 1.6 meters tall, enters a room in which someone has placed a large convex mirror with a radius of curvature \( R \) equal to 30 meters. The mirror has been cut in half so that the axis of the mirror is at ground level. (Figure 1) As Joe enters the room, he is 5 meters in front of the mirror, but he is looking the other way, so he fails to see it. When he turns around, he is startled by his own image in the mirror. #### Figure 1 A convex mirror positioned vertically at ground level with its reflecting side facing away from the axis of curvature. Joe is depicted standing 5 meters away from the mirror, oriented such that he is facing away from the mirror initially before turning around to face it. --- **Part A** **Question:** How far away does the image appear to Joe? **Instructions:** Express your answer in meters, to three significant figures or as a fraction. **Input Box:** [Insert Input Box] **Submit Button:** [Insert Submit Button] --- **Part B** **Question:** What is the image height \( y_{\text{im}} \) that Joe sees in the mirror? **Instructions:** Express your answer in meters, to two significant figures or as a fraction. **Input Box:** [Insert Input Box] **Submit Button:** [Insert Submit Button] --- **Scenario Continuation:** Joe is so startled by his image that he falls forward. (Assume that his feet stay at the same position.) (Figure 2) --- **Part C**
Transcribed Image Text:### Image Size in a Mirror **Scenario:** A guy named Joe, who is 1.6 meters tall, enters a room in which someone has placed a large convex mirror with a radius of curvature \( R \) equal to 30 meters. The mirror has been cut in half so that the axis of the mirror is at ground level. (Figure 1) As Joe enters the room, he is 5 meters in front of the mirror, but he is looking the other way, so he fails to see it. When he turns around, he is startled by his own image in the mirror. #### Figure 1 A convex mirror positioned vertically at ground level with its reflecting side facing away from the axis of curvature. Joe is depicted standing 5 meters away from the mirror, oriented such that he is facing away from the mirror initially before turning around to face it. --- **Part A** **Question:** How far away does the image appear to Joe? **Instructions:** Express your answer in meters, to three significant figures or as a fraction. **Input Box:** [Insert Input Box] **Submit Button:** [Insert Submit Button] --- **Part B** **Question:** What is the image height \( y_{\text{im}} \) that Joe sees in the mirror? **Instructions:** Express your answer in meters, to two significant figures or as a fraction. **Input Box:** [Insert Input Box] **Submit Button:** [Insert Submit Button] --- **Scenario Continuation:** Joe is so startled by his image that he falls forward. (Assume that his feet stay at the same position.) (Figure 2) --- **Part C**
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