To solve this problem, we can use the concept of a right triangle and the Pythagorean theorem.
Let's assume that the distance between the two pillars is "x" meters.
We can form a right triangle with the cable as the hypotenuse, one pillar as the base, and the ground as the height. The other pillar will also have the same height.
Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can write the following equation:
$x^2 = 15^2 - 7^2$
$x^2 = 225 - 49$
$x^2 = 176$
Taking the square root of both sides, we get:
$x = \sqrt{176}$
$x \approx 13.26$
Therefore, the distance between the two pillars is approximately 13.26 meters.
Since none of the given options match the correct answer, we can conclude that the correct answer is D) None of these.