Answer:
x° ≈ 60.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Trigonometry
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Explanation:
Step 1: Define
Identify variables
Angle θ = x°
Adjacent Leg = 43
Hypotenuse = 87
Step 2: Solve for x
- Substitute in variables [cosine]: cos(x°) = 43/87
- Inverse Trig: x° = cos⁻¹(43/87)
- Evaluate: x° = 60.3795
- Round: x° ≈ 60.4