Answer:
x ≈ 7.5
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
- Subtract Property of Equality
Trigonometry
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Explanation:
Step 1: Identify
Angle θ = 37°
Opposite Leg = x
Adjacent Leg = 10
Step 2: Solve for x
- Substitute in variables [tangent]: tan37° = x/10
- [Multiplication Property of Equality] Multiply 10 on both sides: 10tan37° = x
- Rearrange equation: x = 10tan37°
- Evaluate: x = 7.53554
- Round: x ≈ 7.5