An 18 foot support wire is attached to a vertical pole. The wire is attached to the ground 10 feet away from the pole. If the wire meets the pole halfway up the pole, how y'all is the pole in feet?

Step-by-step explanation:

The scenario results in the formation of a right angle triangle.

The length of the support wire represents the hypotenuse of the right angle triangle.

The ground distance between the wire and the pole represents the adjacent side of the right angle triangle.

The height of the pole represents the opposite side of the right angle triangle.

To determine the height of the pole, h, we would apply Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

18² = 10² + h²

324 = 100 + h²

h² = 324 - 100 = 224

h = √224 = 14.97

The wire meets the pole halfway up the pole. The height of the pole would be

14.97 × 2 = 29.94 feet

ab will be equal to