Respuesta :

Space

Answer:

x = 11.4715

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] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 35°

Opposite Leg = x

Hypotenuse = 20

Step 2: Solve for x

  1. Substitute [Sine]:                     sin35° = x/20
  2. Isolate x:                                  20sin35° = x
  3. Rewrite:                                    x = 20sin35°
  4. Evaluate:                                  x = 11.4715