Ferrell Jenkins has an interesting post on the Pinnacle of the Temple.
In my reading the most common view is that the southeast corner of the Temple Mount is the place mentioned in Mark and Luke as the pinnacle of the temple.
He aso quotes from Benjamin Mazar’s book The Mountain of the Lord:
Benjamin Mazar, The Mountain of the Lord, shows a photo of the southeast corner of the wall with the comment that this “is known as the ‘pinnacle of the Temple’ (Mark 11:11; Luke 4:9),” page 149.
Although this statement does appear in the book, I remember discussing this problem with him and he said that he actually saw the southwest corner of the Temple Mount as a more likely candidate for the pinnacle of the Temple. One needs to determine what was the most important element in the temptation of Jesus to throw himself down from the pinnacle. Was it the height of the corner above what lay below or did the temptation lie in impressing as many people as possible with that jump?
As the southwest corner was a busy junction between the major north-south street running through Jerusalem and the Plaza in front of the Southern Wall of the Temple Mount, there would have been many more people to impress here than on the much quieter southeast corner.
It is in a setting such as this that we can visualise the dramatic scene that would have taken place had not Jesus challenged the temptation with the power of God’s Word.