Option 1 states that acid rain reacts with buildings made from limestone. This statement is correct. Acid rain, which is formed when sulfur dioxide and nitrogen oxide combine with atmospheric moisture, can react with the calcium carbonate in limestone buildings, causing damage and erosion.

Option 2 claims that burning sulfur-containing coal can contribute to acid rain. This statement is also correct. When coal containing high levels of sulfur is burned, it releases sulfur dioxide into the atmosphere. This sulfur dioxide reacts with water and other substances to form sulfuric acid, a main component of acid rain.

Option 3 suggests that eutrophication is an effective measure to control pollution. This statement is incorrect. Eutrophication is the excessive growth of algae and aquatic plants due to the presence of high nutrient levels, which can be harmful to aquatic ecosystems. It is not a control measure for pollution, but rather a phenomenon caused by pollution, such as the excessive release of nutrients like nitrogen and phosphorus into bodies of water.

Therefore, the correct answer is option 1, as it correctly identifies that statement 1 is the only correct one.