A ray crosses into glass

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Problem: A ray crosses into glass
A ray in air with index 1 enters glass of index 1.5 at incidence angle 30° from the normal.
Question: Find sin r for the refracted ray.
Givens:
- n₁ = 1
- n₂ = 1.5
- i = 30°
Assumptions: Smooth plane interface between isotropic media; angles measured from the normal; indices given at the light frequency.
Choices (LaTeX):
A. 3/4
B. 1/2
C. 2/3
D. 1/3

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.