Question

Find m angle f to the nearest degree

Answer 1

∠F ≈ 53°

General Formulas and Concepts:

Trigonometry

• sin∅ = opposite over hypotenuse
• sin inverse evaluates "backward" to find the measure angle

Explanation:

Step 1: Define

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

Step 2: Find m∠F

1. Substitute: sin∠F = 8/10
2. Simplify: sin∠F = 4/5
3. Take sin inverse: ∠F = sin⁻¹(4/5)
4. Evaluate: ∠F = 53.1301°
5. Round: ∠F ≈ 53°