Respuesta :

Space

Answer:

x = 6.7128 m

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] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 8

Step 2: Solve for x

  1. Substitute [Tangent]:                    tan40° = x/8
  2. Isolate x:                                        8tan40° = x
  3. Rewrite:                                         x = 8tan40°
  4. Evaluate:                                        x = 6.7128