m∠B ≈ 37°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Trigonometry
[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
Step 1: Identify
Adjacent Leg = 4
Hypotenuse = 5
Step 2: Find Angle
Substitute in variables [cosine]: cosθ = 4/5[Equality Property] Trig inverse: θ = cos⁻¹(4/5)Evaluate: θ = 36.8699°Round: θ ≈ 37°