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A 1.80-m-tall person stands 2.80 m from a convex mirror and notices that he looks precisely...

A 1.80-m-tall person stands 2.80 m from a convex mirror and notices that he looks precisely half as tall as he does in a plane mirror placed at the same distance.

What is the radius of curvature of the convex mirror? (Assume that sinθ≈θ.) [Hint: The viewing angle is half.]

Express your answer with the appropriate units.

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