SOLUTION: A wire is attached to the top of a pole. The wire is 2 ft longer than the pole, and the distance from the wire on the ground to the bottom of the pole is 2 ft less than the height

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A wire is attached to the top of a pole. The wire is 2 ft longer than the pole, and the distance from the wire on the ground to the bottom of the pole is 2 ft less than the height       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1060516: A wire is attached to the top of a pole. The wire is 2 ft longer than the pole, and the distance from the wire on the ground to the bottom of the pole is 2 ft less than the height of the pole. Find the length of the wire and the height of the pole.
Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

The wire runs down the pole and upon reaching the ground, it runs outward from the pole.
Since the wire is 2ft longer than the pole, it will run along the ground 2ft.
2ft is 2ft less than the height of the pole, so the pole must be 4ft high.

Ans: The pole is 4ft high, and the wire is 6ft long.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
A wire is attached to the top of a pole. The wire is 2 ft longer than the pole, and the distance from the wire on the ground to the bottom of the pole is 2 ft less than the height of the pole. Find the length of the wire and the height of the pole.

This represents a 3-4-5 Pythag triple, doubled (6-8-10).