Answer
The solution is shown below.
Work Step by Step
In order to determine the reaction mechanism, we must first determine the function of the reagent (1). The second step is to analyze the substrate (2), and lastly but not least we must consider any relevant regiochemical and stereochemical requirements (3).
(1) Reagent in this reaction is EtOH which is both a weak nucleophile and weak base.
(2) For tertiary substrates, unimolecular reactions ($S_{N}1$ and $E1$) are favoured but high temperature favors E1
(3) In $S_{N}1$ mechanism nucleophile attacks the carbocation and replaces the leaving group with racemization. And in $E1$ Zaitsev product is always favoured over the Hofmann product.