Suppose an object is placed at a distance s_{o}, from a spherical reflecting surface, an image will be formed at distance s_{i} given by:

$\overline{)\frac{{\mathbf{\eta}}_{\mathbf{1}}}{{\mathbf{s}}_{\mathbf{o}}}{\mathbf{+}}\frac{{\mathbf{\eta}}_{\mathbf{2}}}{{\mathbf{s}}_{\mathbf{i}}}{\mathbf{=}}\frac{{\mathbf{\eta}}_{\mathbf{2}}\mathbf{-}{\mathbf{\eta}}_{\mathbf{1}}}{\mathbf{R}}}$, where R is the radius of curvature of the spherical surface.

A goldfish lives in a 50-cm-diameter spherical fish bowl. The fish sees a cat watching it. If the cat's face is 20 cm from the edge of the bowl, how far from the edge does the fish see it as being? (You can ignore the thin glass wall of the bowl.)

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