Question

Find the given angle measure. Round to the nearest

degree.
MZB=
A
4 yd
To
5 yd
B'

Answer 1

m∠B ≈ 37°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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

Explanation:

Step 1: Identify

Adjacent Leg = 4

Hypotenuse = 5

Step 2: Find Angle

1. Substitute in variables [cosine]: cosθ = 4/5
2. [Equality Property] Trig inverse: θ = cos⁻¹(4/5)
3. Evaluate: θ = 36.8699°
4. Round: θ ≈ 37°