Question

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.

part A

How far away does the image appear to Joe?

Express your answer in meters, to three significant figures or as a fraction.

Part B

What is the image height yim that Joe sees in the mirror?

Express your answer in meters, to three significant figures or as a fraction.

Part C

Now what is the length (i.e., the distance from head to toe) of Joe's image?

Express your answer in meters, to three significant figures or as a fraction.

Answer 1