Answer:
x = 12.1532°
General Formulas and Concepts:
Trigonometry
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
- Inverse Trig
Explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 4
Hypotenuse = 19
Step 2: Solve for x
- Substitute in variables [sine]: sinx = 4/19
- Inverse trig: x = sin⁻¹(4/19)
- Evaluate: x = 12.1532°