An opaque cylindrical tank with an open top has a diameter of 2.85 m and is comp

Question

An opaque cylindrical tank with an open top has a diameter of 2.85 m and is completely filled with water. When the afternoon Sun reaches an angle of 29.6 degree above the horizon, sunlight ceases to illuminate the bottom of the tank. How deep is the tank? Determine how the depth of the tank is related to the angle of refraction for the geometry described in the question. Drawing a diagram may be helpful. Then apply Snell' s law to find the angle of refraction and use it to determine the depth of the water in the tank. m.

Explanation / Answer

from snell's law

sintheta1 = nwsintheta2

theta2 = sin^-1(sin60.4/1.33)

theta2 = 40.83 degrees

tantheta2 = d/h

h = 2.85/tan40.83

h = 3.31 m

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