# 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 1:![Figure 1](#link)The diagram shows a convex mirror with Joe standing in front of it. The mirror's axis is at ground level.## Part B*What is the image height \( y_{im} \) that Joe sees in the mirror?*Express your answer in meters, to two significant figures or as a fraction.[View Available Hint(s)](+) \( y_{im} = \) [Input Box] m [Submit Button]## Part C*Joe is so startled by his image that he falls forward. (Assume that his feet stay at the same position.) (Figure 2)*Now what is the length (i.e., the distance from head to toe) of Joe's image?Express your answer in meters, to four significant figures or as a fraction.[View Available Hint(s)](+) [Input Box] m [Submit Button]### Figure 2:![Figure 2](#link)Provide Feedback [Link]

height of joe ho = 1.6 m radius of curvature R = 30 mfocus f = 30 /2 = 15 mf = -15 mdistance of…

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 1 of 2 > Part B 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) Π᾿ ΑΣΦ Submit 6 ▾ Part C → E ? m Joe is so startled by his image that he falls forward. (Assume that his feet stay at the same position.) (Figure 2) Now what is the length (i.e., the distance from head to toe) of Joe's image? Express your answer in meters, to four significant figures or as a fraction. Review I Constants

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 1 of 2 > Part B 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) Π᾿ ΑΣΦ Submit 6 ▾ Part C → E ? m Joe is so startled by his image that he falls forward. (Assume that his feet stay at the same position.) (Figure 2) Now what is the length (i.e., the distance from head to toe) of Joe's image? Express your answer in meters, to four significant figures or as a fraction. Review I Constants