Answer:
x ≈ 63.5°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Trigonometry
- [Right Triangle Only] SOHCAHTOA
- [Right Triangle Only] sin∅ = opposite over hypotenuse
Explanation:
Step 1: Identify Variables
Angle = x°
Opposite Leg = 17
Hypotenuse = 19
Step 2: Solve for x
- Substitute [sine]: sinx° = 17/19
- Trig inverse: x° = sin⁻¹(17/19)
- Evaluate: x = 63.4746
- Round: x ≈ 63.5°