Question

Solve for x. Round to one decimal place

Answer 1

x ≈ 27.2

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] sinθ = opposite over hypotenuse

Explanation:

Step 1: Define

Identify variables

Angle θ = 54°

Opposite Leg = 22

Hypotenuse = x

Step 2: Solve for x

1. Substitute in variables [sine]: sin54° = 22/x
2. [Multiplication Property of Equality] Cross-multiply: x = 22/sin54°
3. Evaluate: x = 27.1935
4. Round: x ≈ 27.2