Respuesta :

Space

Answer:

x = 34.8499°

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

Trigonometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sin∅ = opposite over hypotenuse
  • Trig Inverses

Step-by-step explanation:

Step 1: Identify Variables

Angle = x (in deg)

Opposite Leg = 4

Hypotenuse = 7

Step 2: Solve for x

  1. Substitute [sine]:                    sin(x°) = 4/7
  2. Sine Inverse:                          x° = sin⁻¹(4/7)
  3. Evaluate:                                x = 34.8499°
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