Answer:
A. 34°
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] tanθ = opposite over adjacent
- Inverse Trig
Step-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite leg AC = 24
Adjacent leg CB = 35
Step 2: Solve for x
- Substitute in variables [Tangent]: [tex]\displaystyle tanx^\circ = \frac{24}{35}[/tex]
- Inverse Trig [Tangent]: [tex]\displaystyle x^\circ = tan^{-1}(\frac{24}{35})[/tex]
- Evaluate: [tex]\displaystyle x = 34.439^\circ[/tex]
- Round: [tex]\displaystyle x \approx 34^\circ[/tex]