How can one navigate the experience of Tanha
The answer has already been chosen, but I really wanted to provide a personal experience that may help. 

Back in my 20s, I was in a Buddhist temple and witnessed a woman getting stabbed and raped. I was able to help her get away, but the angst from that 5 minute event haunted me for years. I would wake up in sweats and even get into fights with abusive men simply because I was still so angry. 

What I finally did was go into deep meditation and picture the event as a bubble that would float away. I then pictured myself without that bubble. I (mentally) let it go. 

It goes back to what the Buddha first called the Forefold Truths, or the "4" in early language. First, you watch anger, emotions, (suffering) arise but instead of attaching to them, you understand that they are just something that's separate from you. You then use meditation to let them go and when you fully let go, you then have a chance at nirvana or total freedom. Keeping that practice of seeing, understanding and letting go is then the eightfold path. 

In essence, being Buddhist is being at peace.