かたむ傾katamuけるkeru
1.
To angle or position something in a non-vertical orientation, often resulting in a slanted or tilted arrangement.
2.
To direct one's attention or focus towards a particular subject or intention, often to the exclusion of other distractions.
3.
To engage deeply in an activity or feeling, pouring one's heart or energy into that specific pursuit.
4.
To cause a decline or detriment to something, potentially leading to its weakening or downfall.
5.
To partake in drinking, especially in a way that suggests consuming all of the contents from a container.
Example:
私は君の言うことには熱心に耳を傾けている。