/usr/include/qt5/QtPositioning/ is in qtpositioning5-dev 5.2.1-1ubuntu2.
This file is owned by root:root, with mode 0o755.
..
/usr/include/qt5/QtPositioning/QGeoAddress
/usr/include/qt5/QtPositioning/QGeoAreaMonitorInfo
/usr/include/qt5/QtPositioning/QGeoAreaMonitorSource
/usr/include/qt5/QtPositioning/QGeoCircle
/usr/include/qt5/QtPositioning/QGeoCoordinate
/usr/include/qt5/QtPositioning/QGeoLocation
/usr/include/qt5/QtPositioning/QGeoPositionInfo
/usr/include/qt5/QtPositioning/QGeoPositionInfoSource
/usr/include/qt5/QtPositioning/QGeoPositionInfoSourceFactory
/usr/include/qt5/QtPositioning/QGeoRectangle
/usr/include/qt5/QtPositioning/QGeoSatelliteInfo
/usr/include/qt5/QtPositioning/QGeoSatelliteInfoSource
/usr/include/qt5/QtPositioning/QGeoShape
/usr/include/qt5/QtPositioning/QNmeaPositionInfoSource
/usr/include/qt5/QtPositioning/QtPositioning
/usr/include/qt5/QtPositioning/QtPositioningDepends
/usr/include/qt5/QtPositioning/QtPositioningVersion
/usr/include/qt5/QtPositioning/qgeoaddress.h
/usr/include/qt5/QtPositioning/qgeoareamonitorinfo.h
/usr/include/qt5/QtPositioning/qgeoareamonitorsource.h
/usr/include/qt5/QtPositioning/qgeocircle.h
/usr/include/qt5/QtPositioning/qgeocoordinate.h
/usr/include/qt5/QtPositioning/qgeolocation.h
/usr/include/qt5/QtPositioning/qgeopositioninfo.h
/usr/include/qt5/QtPositioning/qgeopositioninfosource.h
/usr/include/qt5/QtPositioning/qgeopositioninfosourcefactory.h
/usr/include/qt5/QtPositioning/qgeorectangle.h
/usr/include/qt5/QtPositioning/qgeosatelliteinfo.h
/usr/include/qt5/QtPositioning/qgeosatelliteinfosource.h
/usr/include/qt5/QtPositioning/qgeoshape.h
/usr/include/qt5/QtPositioning/qnmeapositioninfosource.h
/usr/include/qt5/QtPositioning/qpositioningglobal.h
/usr/include/qt5/QtPositioning/qtpositioningversion.h