Looks like the first one is correct to me. For an explanation of why it goes to that product, i figure that in the polar solvent, you are going to get E1. Once you have the carbocation intermediate, then the double bond (pi) must form by the Hydrogen being removed being in line with the p orbital of the carbocation, two transition states are possible here. The first has an ethyl and a methyl on the same face, while the other has greater steric interaction of 2 ethyl groups together, meaning that the first transition state is lower energy.
If i am wrong and it's E2, then antiperiplanar elimination will result in the same product so the result is the same either way.
(attached picture of E1 possible transition states, the first being lower energy) whoops, the methyl group in the plane of the monitor should actually be a hydrogen that is being eliminated.