Respuesta :

Space

Answer:

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

Step-by-step 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

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