A spotlight is mounted on a pole at the end of a fishing pier as shown below. If

Question

A spotlight is mounted on a pole at the end of a fishing pier as shown below. If the light is mounted a distance of y - 2.80 m above the water, and the light strikes the water at a point that is x - 7.00 m horizontally from the end of the pier, determine the distance from the end of the pier to the point where the light strikes the bottom of the lake if the water is 3.00 m deep. (Use 1.33 for the index of refraction of water.) 11.7292 How can you determine the angle of incidence in water? See if you can use Snell's law to determine the angle of refraction in water. See if you can use basic trigonometry to determine the distance from the end of the pier to the point where the light strikes the bottom of the lake. m 3.00 m

Explanation / Answer

Angle of incidence= i= tan^-1(2.8/7)= 21.8°

So, 1*sin21.8°= 1.33sinr

So, angle of refraction r= 16.2°

Also, tan16.2°= (d-7)/3

So, d-7= 0.87m

So, distance form the end of the pier to the point where the light strikes the bottom of the lake is 7.87m

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