The Middle Earth: Shadow of Mordor Height of Despair will give you a Bronze Trophy or 10 GamerScore Points. You need to use Strike From Above while at least 60 feet above your target.
Here is how to get the Middle Earth: Shadow of Mordor Height of Despair Trophy/Achievement:
On the map, Just where the game starts, look for the most eastern forge tower of Udûn, this will serve as a very good location to get the Height of Despair
Trophy/Achievement. In this area, you will encounter a few Urks. Hit the R2 + Triangle (PlayStation) / RB + Y (Xbox) to grab the Urk’s attention.
Lure him to the upper region of the tower climb up and perform a Stealth Takedown from above (R2 + Square on PlayStation / RB + X on Xbox). To complete this task successfully you must use the Stealth mode, if you are seen, it wont be considered as a stealth kill.
For those who are still unclear about how to get the Middle Earth: Shadow of Mordor Height of Despair Trophy/Achievement, watch the video below: