When you are al the cruise terminal you can spot a hill with a big statue on it. This is the statue of Ataturk, one of the most iconic figures of Turkish history, also known as father of the nation. It is a 30 minute hike to get up to the statue. It is quite a challenge though to find the exact path going up. At the statue you will have beautiful panoramic views over Kuşadası and the bay.
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GPS:
37.85943848230629, 27.25188061594963