Answer:
AC ≈ 3.76
General Formulas and Concepts:
Math
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] sinθ = opposite over hypotenuse
Explanation:
Step 1: Identify
Angle θ = 70°
Opposite Leg = AC
Hypotenuse = 4
Step 2: Solve for AC
- Substitute in variables [sine]: sin70° = AC/4
- [Multiplication Property of Equality] Isolate AC: 4sin70° = AC
- Rewrite: AC = 4sin70°
- Evaluate: AC = 3.75877
- Round: AC ≈ 3.76