Answer:
∠F ≈ 53°
General Formulas and Concepts:
Trigonometry
- sin∅ = opposite over hypotenuse
- sin inverse evaluates "backward" to find the measure angle
Step-by-step explanation:
Step 1: Define
Looking at ∠F
opposite leg of ∠F = ED = 8
hypotenuse = FE = 10
Step 2: Find m∠F
- Substitute: sin∠F = 8/10
- Simplify: sin∠F = 4/5
- Take sin inverse: ∠F = sin⁻¹(4/5)
- Evaluate: ∠F = 53.1301°
- Round: ∠F ≈ 53°
