This is the 7467th most frequent Japanese word.
傾く
"傾く" means "to tilt, lean, or incline."
In this sentence, "傾く" is used to describe the physical tilting or inclining of the setting sun towards the west, which is a natural phenomenon.
夕日が西に傾く。
The evening sun tilts towards the west.
Here, "傾く" metaphorically indicates the shift of opinions in favor of something, showing an inclination not in a literal spatial sense but rather in personal preference or consensus.
意見が彼の案に傾いた。
Opinions leaned towards his proposal.
In this sentence, "傾く" is used to describe the structural tilt or leaning of a house caused by an external force, such as an earthquake.