Answer:
x ≈ 12.8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Trigonometry
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
Step 1: Define
Angle θ = 58°
Opposite Leg = x
Adjacent Leg = 8
Step 2: Solve for x
- Substitute in variables [tangent]: tan58° = x/8
- [Multiplication Property of Equality] Isolate x: 8tan58° = x
- Rewrite: x = 8tan58°
- Evaluate: x = 12.8027
- Round: x ≈ 12.8