Respuesta :

Space

Answer:

x ≈ 22.0°

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

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = x°

Opposite Leg = 3

Hypotenuse = 8

Step 2: Find x°

  1. Substitute [Sine]:                    sinx° = 3/8
  2. Inverse trig:                             x° = sin⁻¹(3/8)
  3. Evaluate:                                 x = 22.0243°
  4. Round:                                     x ≈ 22.0°

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