  The Tunka Radio Extension (Tunka-Rex) is a digital antenna array for the
detection of radio emission from cosmic-ray air showers in the frequency band
of 30 to 80 MHz and for primary energies above 100 PeV. The standard analysis
of Tunka-Rex includes events with zenith angle of up to 50$^\circ$. This cut is
determined by the efficiency of the external trigger. However, due to the
air-shower footprint increasing with zenith angle and due to the more efficient
generation of radio emission (the magnetic field in the Tunka valley is almost
vertical), there are a number of ultra-high-energy inclined events detected by
Tunka-Rex. In this work we present a first analysis of a subset of inclined
events detected by Tunka-Rex. We estimate the energies of the selected events
and test the efficiency of Tunka-Rex antennas for detection of inclined air
showers.
