The diver determined that the angle of refraction of the beam in the water is 32 degrees.

The diver determined that the angle of refraction of the beam in the water is 32 degrees. determine at what angle the lychee of light falls to the surface of the water.

To determine the value of the angle between the incident light beam and the water surface, we use the formula: φ = 90º – α = 90º – arcsin (sin β * nwater / nair).

Constants and variables: β – angle of refraction of the beam (β = 32º); nwater is the refractive index of water (nwater = 1.33); nair is the refractive index of air (nair = 1).

Let’s calculate: φ = 90º – arcsin (sin β * nwater / nair) = 90º – arcsin (sin 32º * 1.33 / 1) = 90º – 44.8º = 45.2º.

Answer: The rays of light fall at an angle of 45.2º to the surface of the water.