According to the Snell's law,
[tex] \frac{n_{1}}{n_{2}}= \frac{Sinθ₂}{Sinθ₁}[/tex]
Here, n₁= Refractive index of oil=1.466
n₂=Refractive index of water=1.333
θ₁=Angle of incident= 37.0°
θ₂= Angle of refraction
Substituting the value,
[tex] \frac{1.466}{1.33} =\frac{Sinθ₂}{Sin37.0°} [/tex]
Solving this we get, θ₂ =26.8°
∴ The angle of refracted ray in water is 26.8°.