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wegnerkolmp2741o

Answer:

4.4 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 20 = x/12

12 tan 20 = x

4.367642811=x

Rounding to the nearest tenth

4.4 =x

Space

Answer:

4.4 cm

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Trigonometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 20°

Opposite Leg = x

Adjacent Leg = 12 cm

Step 2: Solve for x

  1. Substitute in variables [Tangent]:                                                                    [tex]\displaystyle tan(20^\circ) = \frac{x}{12}[/tex]
  2. [Multiplication Property of Equality] Multiply 12 on both sides:                     [tex]\displaystyle 12tan(20^\circ) = x[/tex]
  3. Rewrite:                                                                                                             [tex]\displaystyle x = 12tan(20^\circ)[/tex]
  4. Evaluate:                                                                                                            [tex]\displaystyle x = 4.36764[/tex]
  5. Round:                                                                                                               [tex]\displaystyle x = 4.4[/tex]

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