Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A shop has a convex mirror of focal length . A customer tall stands in front of it. Where is the image, and how tall is it?
New Cartesian signs: distances from the pole, against the incoming light negative. So is negative, a concave mirror has a negative , and a convex mirror a positive . Mirror formula ; magnification . A negative means real and inverted.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The image. , so .
Step 2. The magnification. .
Step 3. The height. .
Answer: behind the mirror; virtual and upright; tall.
Check. The image is between and ( is less than ), and smaller. That is how the whole shop fits in one mirror.
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