At night, a person (in air) stands, at the edge of a water-filled swimming pool with a flashlight in hand, looking down at an angle into the pool for a set of car keys (he/she) dropped accidentally to the bottom of the pool earlier in the day. The flashlight is adjusted until the keys can be seen. The vertical distance from the flashlight to the water is 1.5m. The horizontal distance from the flashlight to the point at which the light beam enters the water is 1.7m. The pool is 5m deep. What is the horizontal distance, measured from the from the edge of the pool, starting at the bottom, to the keys? Consider the index of refraction for both air and water in your calculations.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 47P
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At night, a person (in air) stands, at the edge of a water-filled swimming pool with a flashlight in hand, looking down at an angle into the pool for a set of car keys (he/she) dropped accidentally to the bottom of the pool earlier in the day. The flashlight is adjusted until the keys can be seen. The vertical distance from the flashlight to the water is 1.5m. The horizontal distance from the flashlight to the point at which the light beam enters the water is 1.7m. The pool is 5m deep. What is the horizontal distance, measured from the from the edge of the pool, starting at the bottom, to the keys? Consider the index of refraction for both air and water in your calculations.

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