Answer:
x = 77.8 ft
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
Trigonometry
- sin∅ = opposite over hypotenuse
Explanation:
Step 1: Define
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
Step 2: Solve for x
- Substitute: sin40° = 50/x
- Multiply x on both sides: xsin40° = 50
- Divide sin40° on both sides: x = 50/sin40°
- Evaluate: x = 77.7862
- Round: x = 77.8 ft