Find the given angle measure. Round to the nearest degree.
MZB=
A
4 yd
To
5 yd
B'

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°