Final answer:
To find the total horizontal distance illuminated by two 15-meter-high poles, we need to use trigonometry and apply the tangent function to determine the ground distance illuminated by each pole using the pole height and the angle of illumination.
Step-by-step explanation:
The correct answer is option Mathematics, specifically using trigonometry. To determine the total horizontal distance that is illuminated by two 15-meter-high light poles, we can use the principles of trigonometry. Since we are dealing with right-angled triangles formed by the vertical light poles and the distances they illuminate on the ground, the appropriate trigonometric function to use is the tangent, where tangent of the angle equals the opposite side (the illuminated distance on the ground) over the adjacent side (the height of the pole).
If the angle of illumination from the top of the pole to the end of the illumination on the ground is known, you can calculate this distance by using the formula distance = height of pole × tangent of the angle. Without the angle given, we cannot proceed further in providing a numerical answer. However, if the angle is provided, we would apply this to both light poles and add the individual distances to get the total horizontal distance that is illuminated.