Respuesta :

Space

Answer:

37.0469 cm

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: Identify

Angle θ = 39°

Opposite Leg = 30

Adjacent Leg = x

Step 2: Solve for x

  1. Substitute in variables [tangent]:                                                                   [tex]\displaystyle tan39^\circ = \frac{30}{x}[/tex]
  2. Cross-multiply:                                                                                                [tex]\displaystyle x = \frac{30}{tan39^\circ}[/tex]
  3. Evaluate:                                                                                                         [tex]\displaystyle x = 37.0469[/tex]

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