Answer :

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Answer:

AC ≈ 5.87

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] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify

Angle θ = 50°

Opposite Leg = 7

Adjacent Leg = BC

Step 2: Solve for BC

  1. Substitute in variables [tangent]:                                                                     tan50° = 7/AC
  2. [Multiplication Property of Equality] Multiply AC on both sides:                   ACtan50° = 7
  3. [Division Property of Equality] Isolate AC:                                                      AC = 7/tan50°
  4. Evaluate:                                                                                                           AC = 5.8737
  5. Round:                                                                                                               AC ≈ 5.87

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