Respuesta :

Space

Answer:

θ ≈ 17.9°

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

Algebra I

  • Equality Properties

Trigonometry

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

Step-by-step explanation:

Step 1: Identify

Angle = θ

Opposite Leg = 4

Hypotenuse = 13

Step 2: Find θ

  1. Substitute [Sine]:                      sinθ = 4/13
  2. Trig Inverse:                              θ = sin⁻¹(4/13)
  3. Evaluate:                                   θ = 17.9202°
  4. Round:                                       θ ≈ 17.9°

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