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

x ≈ 58 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

Substitute:                    55² + x² = 80²Isolate x term:               x² = 80² - 55²Exponents:                   x² = 6400 - 3025Subtract:                       x² = 3375Isolate x:                       x = √3375Simplify:                        x = 15√15Evaluate:                       x = 58.0948Round:                          x ≈ 58