Answer:
x = 6.7128 m
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
Step-by-step explanation:
Step 1: Identify
Angle θ = 40°
Opposite Leg = x
Adjacent Leg = 8
Step 2: Solve for x
- Substitute [Tangent]: tan40° = x/8
- Isolate x: 8tan40° = x
- Rewrite: x = 8tan40°
- Evaluate: x = 6.7128