Question

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

Answer 1

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

Step-by-step 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