Respuesta :

Space

Answer:

[tex]b \approx 4.6[/tex]

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

Pre-Calculus

  • Law of Sines: [tex]\frac{sin(A)}{a} = \frac{sin(B)}{b}[/tex]

Step-by-step explanation:

Step 1: Define

A = 50°

B = 62°

a = 4

Step 2: Solve for b

  1. Substitute [LOS]:                    [tex]\frac{sin(50)}{4} = \frac{sin(62)}{b}[/tex]
  2. Cross-multiply:                       [tex]bsin(50) = 4sin(62)[/tex]
  3. Isolate b:                                 [tex]b = \frac{4sin(62)}{sin(50)}[/tex]
  4. Evaluate:                                 [tex]b = 4.61042[/tex]
  5. Round:                                    [tex]b \approx 4.6[/tex]