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Objective: We present a novel, low-profile, scleral-coil based, distance ranging system which is suitable for smart, accommodating contact lenses. Methods: We measure the induced emf between a set of four thin semi-circular coils patterned on flexible Kapton substrates that conform to the eyes’ sclera. This induced emf is a function of eye gaze angles. The distance from the eyes to the desired object is next determined via the triangulation of the eye gaze angles Results: Experiments on simulated tissue gel eyeballs indicate an accurate prediction of object distance in the 0.1-15 D (diopter) range with a 0.15 D RMS error and object direction in the -15 to 15-degree field of view with 0.4-degree RMS error, respectively. The energy required per range reading was determined to be as low as 20 μJ. Conclusion: Experimental data shows that the distance ranging system can accurately measure eye-gaze angles and object-distance with very low energy consumption. Significance: The high-accuracy, low-profile and reduced energy requirements make the distance ranger suitable for low-power vision corrective applications such as smart contact lenses.