1- after a long day of driving, John took a late-night swim in a hotel swimming

Question

1- after a long day of driving, John took a late-night swim in a hotel swimming pool. when he went back to his room after swimming he realized that he had lost his room key in the pool. he borrowed a powerful flashlight and walked around the pool shining the light into it. the light shined on the key which was lying on the bottom of the pool when the flashlight was held 1.2m above the water surface and was directed at the surface a horizontal distance of 1.5m from the edge of the pool. if the water was 4m deep, how far was the key from the edge of the pool. [hint: draw a neat picture]

Explanation / Answer

the angle of incident. tan 0 = 1.5/1.2 so sin 0 =0.78. so angle of refraction. sin b = sin 0/1.333=0.59. so b=36 (degrees). so that the distance. 1.5+4*tan36=4.4(m)

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