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Solve for X, Round to the nearest 10th of a degree if necessary 43 87

Solve for X, Round to the nearest 10th of a degree if necessary 43 87-example-1

1 Answer

6 votes

Answer:

x° ≈ 60.4

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] cosθ = adjacent over hypotenuse
  • Inverse Trig

Explanation:

Step 1: Define

Identify variables

Angle θ = x°

Adjacent Leg = 43

Hypotenuse = 87

Step 2: Solve for x

  1. Substitute in variables [cosine]: cos(x°) = 43/87
  2. Inverse Trig: x° = cos⁻¹(43/87)
  3. Evaluate: x° = 60.3795
  4. Round: x° ≈ 60.4
User Odeyinka Olubunmi
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