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An aircraft is flying at FL200. The OAT = ISA +10°C. The QNH given by a station at an elevation 1000 ft is 1010 hPa. The True Altitude, rounded to 100 ft, is…
Assume 1 hPa = 30 ft.

  • A
    17 200 ft.
  • B
    18 600 ft.
  • C
    19 200 ft.
  • D
    20 700 ft.

Refer to figure.
In this question, we are given a pressure altitude (in the form of a flight level) and are asked for the terrain clearance, therefore we need to determine the corresponding true altitude.

The first step is to compute the pressure correction by considering the deviation from the standard mean sea level pressure of 1013 hPa: 1013 hPa - 1010 hPa = 3 hPa. The question provides a barometric lapse rate near the surface of 30 ft/hPa, the pressure correction can be calculated as follows: Pressure correction = 3 hPa x 30 ft/hPa = ­­­90 ft. This value needs to be subtracted from the pressure altitude as per the rules below:

Indicated altitude = 20 000 ft - 90 ft = 19 910 ft.

Next, we need to determine the temperature correction. The ISA deviation is ISA +10ºC. The elevation of the aerodrome has to be taken into account: 19 910 ft - 1 000 ft = 18 910 ft. Based on the 4% rule and its calculation mentioned in the rules below, the height correction for the temperature can be calculated as follows: Height correction for temperature = 4 × (+10) × (18 910/1000) = 756 ft.

The temperature correction is added to the indicated altitude as per the rules below, to give a true altitude of 19 910 ft + 756 ft = ­­­­­20 666 ft.

  • Rounded to 100 ft = 20 700 ft

RULES. The following rules should be considered for altimetry calculations:

  • All calculations are based on rounded pressure values to the nearest lower hPa.
  • The value for the barometric lapse rate between MSL and 500 hPa to be used is 30 ft/hPa as an acceptable approximation of the barometric lapse rate.
  • To determine the true altitude/height, the following rule of thumb, called the ‘4 %-rule’, shall be used: the altitude/height changes by 4% for each 10°C temperature deviation from ISA.
    For simplification: Height correction for the temp = 4 × (ISA DEV) × Indicated alt/1000 = ___ ft
  • If no further information is given, the deviation of the outside-air temperature from ISA is considered to be the same throughout the whole layer.
  • The elevation of the aerodrome has to be taken into account. The temperature correction has to be considered for the layer between the station (usually an aerodrome) and the position of the aircraft.

IF

THEN

Higher pressure

Indicated Altitude > Pressure Altitude

Lower pressure

Indicated Altitude < Pressure Altitude

Warmer than ISA

True Altitude > Indicated Altitude

Colder than ISA

True Altitude < Indicated Altitude

Definitions
Pressure Altitude: The altimeter indication with standard pressure (1013.2 hPa) set.
Indicated Altitude: The altimeter indication with local QNH set.
True altitude: The actual altitude of the aircraft above mean sea level.

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