Find m angle f to the nearest degree

∠F ≈ 53°

General Formulas and Concepts:

Trigonometry

sin∅ = opposite over hypotenusesin 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 = 8/10Simplify:                        sin∠F = 4/5Take sin inverse:          ∠F = sin⁻¹(4/5)Evaluate:                       ∠F = 53.1301°Round:                           ∠F ≈ 53°