Let's qualify your question: to answer how far Russia is from Alaska is 58 miles. However, the water in between Russia and Alaska is known as the Bering Strait. In the Bering Strait, there are two small uninhabited islands. Little Diomede belonging to the US and Bid Diomede belonging to Russia. These islands are 2 miles apart, so technically Alaska and Russia are only 2 miles apart (but, keep in mind, there's nothing happening on these islands).