You were high on the approach after applying the cold temperature corrections.........................were you in a radar environment at the time??
When to Apply Corrections:
When the aerodrome is 0°C or colder, or for higher elevation aerodromes the ISA deviation is -15°C or
colder, temperature error correction must be added.
ARRIVALS
Note: Alterations to navigation database altitude constraints are not permitted when performing
MANAGED non-precision approaches (incl. PRNAV); however such approaches without low
temperature altitude correction are approved, provided that the OAT at the aerodrome is not below
ISA -25°C. e.g. not below -10°C at sea level, or published temperature.
Otherwise:
In a radar environment any altitude (height) assigned by ATC will already have been compensated for
temperature, hence low temperature corrections should be made ONLY to approach fix crossing altitudes
and the DA or MDA.
In a non-radar environment all altitudes published in an approach procedure should be corrected. When
crews intend to apply corrections to the FAF/platform altitude, procedure turn or missed approached
altitude, they MUST advise ATC of their intention and the correction to be applied.
Note: In a metric environment ATC must be advised of the increment in metres applied to the
height (QFE) in metres.