A near-sighted man can only focus on distances of dfar = 5.66 m or closer. What power lenses does he need in his glasses for distance vision? Your answer should be in diopters (m-1).

A far-sighted woman can only focus on distances of dnear = 0.629 m or farther. What power lenses does she need in her glasses for close vision? Your answer should be in diopters (m-1).

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As magical as the world of Middle-Earth may be, it is still subject to the laws of nature. An individual Dwarf stands approximately 1.24 m tall and is approximately 702.3 km away from Barad-dûr, where the Eye of Sauron is perched. To what aperture must the Eye of Sauron’s rectangular pupil be opened in order to be able to resolve the head of the individual from the ground? (Ignore the width of the individual and assume an average wavelength of 580.0 nm.)