A 1,000ft building may sway several inches on a day with normal winds. On days with 50mph wind, such a tower may move approximately six inches.
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At 828 meters tall, the Burj Khalifa sways by around 4 to 5 feet owing to wind disturbance. Owing to the excellent construction of these structures, the sway action brought on by strong winds may either be controlled or dampened such that occupants on these upper levels don't feel the building move.
Yes a Tsunami can surely wash away the Burj Khalifa, and all of Dubai's other skyscrapers as well as their phenomenal shopping malls and parks and resorts.
Not only do wind speeds increase with height, but the force of the wind also increases with the square of its velocity. That means rapidly growing wind stress as the height of the building increases, which can cause even the most rigid skyscrapers to sway slowly back and forth.