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2) The diagram shows a wire attached to the top of a telephone pole. To the nearest foot, what is the height of the telephone pole? SHOW WORK PLS

2 The diagram shows a wire attached to the top of a telephone pole To the nearest foot what is the height of the telephone pole SHOW WORK PLS class=

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Space

Answer:

x ≈ 58 ft

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] Pythagorean Theorem: a² + b² = c²

Explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 55 ft

Leg b = x ft

Hypotenuse c = 80 ft

Step 3: Solve for x

  1. Substitute:                    55² + x² = 80²
  2. Isolate x term:               x² = 80² - 55²
  3. Exponents:                   x² = 6400 - 3025
  4. Subtract:                       x² = 3375
  5. Isolate x:                       x = √3375
  6. Simplify:                        x = 15√15
  7. Evaluate:                       x = 58.0948
  8. Round:                          x ≈ 58

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