Respuesta :

Space

Answer:

x ≈ 16.5

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

Geometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 38°

Adjacent Leg = x

Hypotenuse = 21

Step 3: Solve for x

  1. Substitute [cosine]:                    cos38° = x/21
  2. Isolate x:                                     21cos38° = x
  3. Rewrite:                                      x = 21cos38°
  4. Evaluate:                                     x = 16.5482
  5. Round:                                        x ≈ 16.5

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