A rope is attached to the top of a vertical pole. When pulled tight straight down along the pole, the rope extends \(2 \ m\) past the bottom of the pole. When pulled taut to a point on the ground \(10 \ m\) away from the base of the pole, the end of the rope just touches the ground. Calculate the height of the pole?
Answer:
Height of the pole \(=\) \(m\)