Is the solution correct?

Question

Problem: In triangle ABC, a=12, b=17, and α=21⁰. Find β, rounded to nearest whole number. Suggested Solution: Step 1: Use Sine Law; (sin β)/a = (sin α)/b. Step 2: Substitute given values; (sin β)/12 = (sin 21⁰)/17. Step 3: Multiply both sides of equation by sin 21⁰; sin β = (12 sin 21⁰)/17. Step 4: Take the inverse sine of both sides; β = Arc sin [(12 sin 21⁰)/17]. Step 5: Use a calculator to evaluate expression; β = 14.6531⁰. Therefore, the value of β is 15⁰.

Answer 1

desmos.com/calculator/rxurclbnzb