Respuesta :

Space

Answer:

AC ≈ 3.76

General Formulas and Concepts:

Math

  • Rounding

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] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = 70°

Opposite Leg = AC

Hypotenuse = 4

Step 2: Solve for AC

  1. Substitute in variables [sine]:                                                                           sin70° = AC/4
  2. [Multiplication Property of Equality] Isolate AC:                                             4sin70° = AC
  3. Rewrite:                                                                                                             AC = 4sin70°
  4. Evaluate:                                                                                                           AC = 3.75877
  5. Round:                                                                                                               AC ≈ 3.76

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