Question

Find the value of x.
(Round to the nearest tenth as needed.)

Answer 1

x ≈ 12.8

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] tanθ = opposite over adjacent

Explanation:

Step 1: Define

Angle θ = 58°

Opposite Leg = x

Adjacent Leg = 8

Step 2: Solve for x

1. Substitute in variables [tangent]: tan58° = x/8
2. [Multiplication Property of Equality] Isolate x: 8tan58° = x
3. Rewrite: x = 8tan58°
4. Evaluate: x = 12.8027
5. Round: x ≈ 12.8