The Periscope's Blind Spot · AI Generator #GEN-59A3456F

Physics · optics

Problem

A submarine periscope consists of two plane mirrors arranged at 45°45° to the vertical, separated by a distance of 2.4  m2.4\;\text{m}. The top mirror has dimensions 15  cm×15  cm15\;\text{cm} \times 15\;\text{cm} and the bottom mirror (the eyepiece mirror) has dimensions 12  cm×12  cm12\;\text{cm} \times 12\;\text{cm}. When looking through the periscope, an observer's eye is positioned 25  cm25\;\text{cm} directly below the center of the bottom mirror. A small enemy ship appears as a point object on the horizon. What is the maximum horizontal distance from the periscope's vertical axis at which this ship can be positioned and still be visible to the observer?

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