Step 1: Identify the given values. The angle of incidence (θ1) is 30 degrees, and the refractive index of air (n1) is approximately 1.0, while the refractive index of water (n2) is 1.33.
Step 2: Write down Snell's law formula: n1 * sin(θ1) = n2 * sin(θ2).
Step 3: Substitute the known values into the formula: 1.0 * sin(30 degrees) = 1.33 * sin(θ2).
Step 4: Calculate sin(30 degrees). It equals 0.5.
Step 5: Substitute sin(30 degrees) into the equation: 1.0 * 0.5 = 1.33 * sin(θ2).
Step 6: Simplify the equation: 0.5 = 1.33 * sin(θ2).
Step 7: Solve for sin(θ2) by dividing both sides by 1.33: sin(θ2) = 0.5 / 1.33.
Step 8: Calculate 0.5 / 1.33, which equals approximately 0.375.
Step 9: Find θ2 by taking the inverse sine (sin^(-1)) of 0.375: θ2 = sin^(-1)(0.375).
Step 10: Calculate sin^(-1)(0.375) to find θ2, which is approximately 22.5 degrees.
