Respuesta :

Space

Answer:

x = 6.3

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

Step 2: Identify Variables

POV from the angle measure

Angle = 64°

Opposite = 13

Adjacent = x

Step 3: Solve for x

  1. Substitute:                                 tan64° = 13/x
  2. Multiply x on both sides:          xtan64° = 13
  3. Isolate x:                                    x = 13/tan64°
  4. Evaluate:                                    x = 6.34052

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