A

Step 1: Calculate the height of the antenna above the Earth's surface.
The height of the antenna tower is given as 30 m. We convert this to kilometers: \( 30 ext{ m} = 0.03 ext{ km} \).

Step 2: Using the formula for the distance to the horizon, \( d = \sqrt{2h R} \), where \( h \) is the height in kilometers and \( R \) is the radius of the Earth (6400 km).
We substitute the values: \( d = \sqrt{2 \times 0.03 \times 6400} = \sqrt{384} \approx 19.6 \text{ km} \).

Step 3: Calculate the area covered using the formula for the area of a circle, \( A = \pi r^2 \), where \( r = d \).
Substituting the values: \( A = 3.14 \times (19.6)^2 \approx 3.14 \times 384.16 \approx 1205.35 \) km².

Step 4: Round off to the nearest integer: \( \approx 1205 \) km².
Therefore, the maximum service area covered is approximately 1205 km².