Temperature inversion layers commonly form in the later afternoon and are more common over bodies of water, dense cities where heat from the pavement and buildings rise in a column. For VHF-UHF transmission sites located close, or right in a dense city, beam tilt is commonly used to keep a certain amount of the signal from being deflected away during afternoon drive times.
It's not rocket science actually. The antenna is placed in a way that best covers the city of license and community/market. At broadcast FM frequencies, the radiated signal is by no means a pinpoint.
Remember that adding antenna elements/bays focuses the signal toward the horizon. If one intentionally skewed the stacked elements, the antenna gain would be reduced, essentially reducing the effectiveness of the radiation pattern. Manufacturers typically use tuned reflecting pieces called 'parasitic elements' in various places on the antenna to direct the signal in a particular direction. As in your photo, sometimes the element is a screen, or depending on the design could be a piece of copper tubing of a certain length spaced at a precise distance from the radiating elements (bays).
There are other 'panel' style antennas that place one or more elements backed by a reflector next to each other at an angle (credit ERI):
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