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A camera with a focal length of 20 cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is 1200 m above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of 1:8000?
- a)3200 m
- b)2800 m
- c)2600 m
- d)3000 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A camera with a focal length of 20 cm fitted in an aircraft is used fo...
Given that
f = 0.2 m
h = 1200 m
s = 1/8000
f = 0.2 m
h = 1200 m
s = 1/8000
Most Upvoted Answer
A camera with a focal length of 20 cm fitted in an aircraft is used fo...
Understanding Aerial Photography Scale
To determine the height at which the aircraft must fly to achieve a scale of 1:8000, we need to consider the relationship between the scale, focal length, and flying height.
Scale Formula
The scale of an aerial photograph can be calculated using the formula:
\[ \text{Scale} = \frac{\text{Flying Height}}{\text{Focal Length}} \]
Where:
- Flying Height is the altitude of the aircraft above the terrain.
- Focal Length is given as 20 cm (0.20 m).
Calculating Flying Height
Given the scale of 1:8000, we can rearrange the formula to find the flying height:
\[ \text{Flying Height} = \text{Scale} \times \text{Focal Length} \]
Substituting the values:
- Scale = 8000
- Focal Length = 0.20 m
\[ \text{Flying Height} = 8000 \times 0.20 \]
\[ \text{Flying Height} = 1600 \text{ m} \]
However, this is the height above the terrain. To find the height above mean sea level (MSL), we need to add the average elevation of the terrain.
Adding Terrain Elevation
- Average Terrain Elevation = 1200 m
Thus, the height above MSL is:
\[ \text{Height above MSL} = 1600 \text{ m} + 1200 \text{ m} \]
\[ \text{Height above MSL} = 2800 \text{ m} \]
Conclusion
Therefore, the aircraft must fly at a height of 2800 m above MSL to achieve a scale of 1:8000. This confirms that the correct answer is option B.
To determine the height at which the aircraft must fly to achieve a scale of 1:8000, we need to consider the relationship between the scale, focal length, and flying height.
Scale Formula
The scale of an aerial photograph can be calculated using the formula:
\[ \text{Scale} = \frac{\text{Flying Height}}{\text{Focal Length}} \]
Where:
- Flying Height is the altitude of the aircraft above the terrain.
- Focal Length is given as 20 cm (0.20 m).
Calculating Flying Height
Given the scale of 1:8000, we can rearrange the formula to find the flying height:
\[ \text{Flying Height} = \text{Scale} \times \text{Focal Length} \]
Substituting the values:
- Scale = 8000
- Focal Length = 0.20 m
\[ \text{Flying Height} = 8000 \times 0.20 \]
\[ \text{Flying Height} = 1600 \text{ m} \]
However, this is the height above the terrain. To find the height above mean sea level (MSL), we need to add the average elevation of the terrain.
Adding Terrain Elevation
- Average Terrain Elevation = 1200 m
Thus, the height above MSL is:
\[ \text{Height above MSL} = 1600 \text{ m} + 1200 \text{ m} \]
\[ \text{Height above MSL} = 2800 \text{ m} \]
Conclusion
Therefore, the aircraft must fly at a height of 2800 m above MSL to achieve a scale of 1:8000. This confirms that the correct answer is option B.
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A camera with a focal length of 20 cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is 1200 m above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of 1:8000?a)3200 mb)2800 mc)2600 md)3000 mCorrect answer is option 'B'. Can you explain this answer?
Question Description
A camera with a focal length of 20 cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is 1200 m above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of 1:8000?a)3200 mb)2800 mc)2600 md)3000 mCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A camera with a focal length of 20 cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is 1200 m above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of 1:8000?a)3200 mb)2800 mc)2600 md)3000 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A camera with a focal length of 20 cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is 1200 m above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of 1:8000?a)3200 mb)2800 mc)2600 md)3000 mCorrect answer is option 'B'. Can you explain this answer?.
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