It shows up near the top left of the screen, should appear above the button. Also, it could be taller since the iPad offers more screen real estate.
This seems to happen because the keyboard + buttons disappears when the picker appears. There is no location to anchor the picker.
Since iPad has ample space, perhaps we should not hide the keyboard.
I will work on this.
I fixed this issue and created a pull request.
Fixed issue with popover controller in iPad
Changed the SegmentedControl on the keyboard accessory to buttons.
Buttons are necessary to anchor the Pop-over controller in iPad
Closes #23, closes #45