Answer:
C. 17.6
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] tanθ = opposite over adjacent
Step-by-step explanation:
Step 1: Identify Variables
Angle θ = 40°
Opposite Leg = x
Adjacent Leg = 21
Step 2: Solve for x
- Substitute in variables [tangent]: [tex]\displaystyle tan(40^\circ) = \frac{x}{21}[/tex]
- [Multiplication Property of Equality] Isolate x: [tex]\displaystyle 21tan(40^\circ) = x[/tex]
- Rewrite: [tex]\displaystyle x = 21tan(40^\circ)[/tex]
- Evaluate: [tex]\displaystyle x = 17.6211[/tex]
- Round: [tex]\displaystyle x \approx 17.6[/tex]
