  The geodynamic state of the inner core remains an enigma, encompassing the
presence of a static tilt between the inner core and mantle. Following the
experimental confirmation of an ~8.5yr signal in polar motion as the inner core
wobble (ICW), a normal mode of the inner core, we report that the ~8.5yr
oscillation contained in the length-of-day variations in the Earth's rotation
has good phase consistency with it. Our analysis demonstrated a 0.17{\deg}
static tilt of the inner core (more likely towards ~90{\deg}W) relative to the
mantle, which is two orders of magnitude lower than the 10{\deg} assumed in
certain geodynamic researches. This tilt is consistent with the assumption that
the average density in the northwestern hemisphere of the inner core should be
greater than that in the other regions. Besides, the observed ICW period
(8.5yr) suggests a 0.52g/cm3 density jump at the inner core boundary.
