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An aerial photograph is taken from a flight at a height of 3.5 km above mean sea level, using a camera of focal length 152 mm. If the average ground elevation is 460 m above mean sea level, then the scale of the photograph is
  • a)
    1 : 20000
  • b)
    1 : 20
  • c)
    1 : 100000
  • d)
    1 : 2800
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
An aerial photograph is taken from a flight at a height of 3.5 km abov...
Given data:
- Height of the flight above mean sea level = 3.5 km = 3500 m
- Focal length of the camera = 152 mm = 0.152 m
- Average ground elevation = 460 m

Calculating the scale of the photograph:
The scale of a photograph is the ratio of the distance on the photograph to the corresponding distance on the ground. It is given by the formula:

Scale = (focal length of the camera) / (height of the flight above mean sea level - average ground elevation)

Substituting the given values into the formula, we get:

Scale = 0.152 m / (3500 m - 460 m)
Scale = 0.152 m / 3040 m
Scale ≈ 1 : 20000

Explanation:
- The scale of the photograph is a representation of the size of objects on the ground in relation to their size on the photograph.
- In this case, the height of the flight above mean sea level and the focal length of the camera are given.
- To calculate the scale, we need to subtract the average ground elevation from the height of the flight above mean sea level.
- The scale is then determined by dividing the focal length of the camera by this difference.
- Substituting the given values into the formula, we can calculate the scale of the photograph.
- The scale is approximately 1 : 20000, which means that objects on the ground will appear 20000 times smaller on the photograph compared to their actual size.
- Therefore, the correct answer is option 'A': 1 : 20000.
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Community Answer
An aerial photograph is taken from a flight at a height of 3.5 km abov...
Flying height, H = 3500 m
havg = 460 m
Focal length, f = 152 mm
Scale, 

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An aerial photograph is taken from a flight at a height of 3.5 km above mean sea level, using a camera of focal length 152 mm. If the average ground elevation is 460 m above mean sea level, then the scale of the photograph isa)1 : 20000b)1 : 20c)1 : 100000d)1 : 2800Correct answer is option 'A'. Can you explain this answer?
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