Respuesta :

Space

Answer:

x ≈ 36.9

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

  • SOHCAHTOA
  • [Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

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

Step 2: Identify Variables

Angle = 31°

Opposite = 19

Hypotenuse = x

Step 3: Solve for x

  1. Substitute:                                 sin31° = 19/x
  2. Multiply x on both sides:          xsin31° = 19
  3. Isolate x:                                    x = 19/sin31°
  4. Evaluate:                                    x = 36.8905
  5. Round:                                       x ≈ 36.9

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