Question

Someone please help

Answer 1

`\displaystyle B \approx 36.87^\circ`

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 Variables

Angle θ = B

Adjacent Leg = 4

Hypotenuse = 5

Step 2: Solve for θ

1. Substitute in variables [cosine]:
   `\displaystyle cosB^\circ = (4)/(5)`
2. [Equality Property] Trig inverse:
   `\displaystyle B^\circ = cos^(-1)((4)/(5))`
3. Evaluate:
   `\displaystyle B = 36.8699^\circ`
4. Round:
   `\displaystyle B \approx 36.87^\circ`