A section line AB appears to be 10.18 cm on photograph, for which the focal length is 18 cm. The corresponding line measures 2.68 cm on a map, which is to a scale of 1/50000. The terrain has an average elevation of 210 m above the sea level. The flying altitude of the aircraft above the sea level when the photo was taken is :

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DSSSB AE Civil 27 Sept 2021 Official Paper
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  1. 2579.35 m
  2. 2435.69 m
  3. 2198.26 m
  4. 2896.12 m

Answer (Detailed Solution Below)

Option 1 : 2579.35 m
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Detailed Solution

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Concept:

The scale of a Photograph:
The scale of a photograph depends on the flying height of the photograph, the focal length of the camera an the elevation of ground level with respect to mean sea level.

Where,

f = Focal length of a camera

H = Flying height

h = Elevation of object or ground level above M.S.L

The scale of the map is given by

Calculation:

Given, Focal length, f = 18 cm

Photo distance = 10.18 cm

Map distance = 2.68 cm

The average elevation of the terrain, Ha = 210 m

Let the height of the aircraft be H meter.

Scale, Smap = 1/50,000

We know that,

Ground distance = 134000 cm = 1340 m

Also

The scale of the photo is

H = 2579.35 m

Hence, The flying altitude of the aircraft above sea level when the photo was taken is 2579.35 m.

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