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Answer:

x ≈ 8.6 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

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 = 35°

Opposite Leg = x

Hypotenuse = 15

Step 2: Solve for x

  1. Substitute [Sine]:                     sin35° = x/15
  2. Isolate x:                                  15sin35° = x
  3. Rewrite:                                    x = 15sin35°
  4. Evaluate:                                  x = 8.60365
  5. Round:                                      x ≈ 8.6
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