Respuesta :

Space

Answer:

x ≈ 58.9

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] tan∅ = opposite over adjacent

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 = 23°

Opposite Leg = 25

Adjacent Leg = x

Step 3: Solve for x

  1. Substitution [tangent]:                    tan23° = 25/x
  2. Multiply x on both sides:                xtan23° = 25
  3. Isolate x:                                          x = 25/tan23°
  4. Evaluate:                                          x = 58.8963
  5. Round:                                             x ≈ 58.9

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