Respuesta :

Space

Answer:

x ≈ 77.8°

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] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing angle.

Step 2: Identify Variables

From POV of x

Angle = x

Adjacent = 8

Opposite = 37

Step 3: Solve for x

  1. Substitute:                    tanx° = 37/8
  2. Inverse:                         x° = tan⁻¹(37/8)
  3. Evaluate:                       x = 77.7995°
  4. Round:                          x ≈ 77.8°

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