Question

Refer to image below

Answer 1

A ≈ 40°

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
• Subtract Property of Equality

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] sinθ = opposite over hypotenuse

Explanation:

Step 1: Identify

Angle θ = A

Opposite Leg = 27

Hypotenuse = 42

Step 2: Solve for A

1. Substitute [sine]: sinA = 27/42
2. Simplify: sinA = 9/14
3. Trig inverse: A = sin⁻¹(9/14)
4. Evaluate: A = 40.0052°
5. Round: A ≈ 40°