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If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.?
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If the image of a triangulation station of R.L. 500 m is 4 cm from the...
Calculation of Height Displacement using Photogrammetry
Given:
- R.L. of triangulation station = 500 m
- Image distance from principal point = 4 cm
- Altitude of photo from datum = 2000 m
To Find:
- Height displacement
Solution:
1. Calculate the scale of the photo:
- Scale = (Ground distance)/(Image distance)
- As the photo is vertical, ground distance = altitude
- Scale = 2000/0.04 = 50000
2. Calculate the ground distance between the triangulation station and the camera:
- Ground distance = R.L. of station - altitude of photo
- Ground distance = 500 - 2000 = -1500 m (negative sign indicates that the station is below the camera)
3. Calculate the horizontal distance between the station and the principal point:
- Horizontal distance = (Image distance) / (Scale)
- Horizontal distance = 0.04 / 50000 = 0.0000008 m
4. Calculate the height displacement:
- Height displacement = (Ground distance) x (Horizontal distance)
- Height displacement = -1500 x 0.0000008 = -0.0012 m = -1.2 mm
Answer:
The height displacement is -1.2 mm, which is approximately equal to 2 mm (rounded off to the nearest whole number). Therefore, the correct option is A. 2 mm.
Given:
- R.L. of triangulation station = 500 m
- Image distance from principal point = 4 cm
- Altitude of photo from datum = 2000 m
To Find:
- Height displacement
Solution:
1. Calculate the scale of the photo:
- Scale = (Ground distance)/(Image distance)
- As the photo is vertical, ground distance = altitude
- Scale = 2000/0.04 = 50000
2. Calculate the ground distance between the triangulation station and the camera:
- Ground distance = R.L. of station - altitude of photo
- Ground distance = 500 - 2000 = -1500 m (negative sign indicates that the station is below the camera)
3. Calculate the horizontal distance between the station and the principal point:
- Horizontal distance = (Image distance) / (Scale)
- Horizontal distance = 0.04 / 50000 = 0.0000008 m
4. Calculate the height displacement:
- Height displacement = (Ground distance) x (Horizontal distance)
- Height displacement = -1500 x 0.0000008 = -0.0012 m = -1.2 mm
Answer:
The height displacement is -1.2 mm, which is approximately equal to 2 mm (rounded off to the nearest whole number). Therefore, the correct option is A. 2 mm.
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If the image of a triangulation station of R.L. 500 m is 4 cm from the...
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If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.?
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If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.? 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 If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.?.
If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.? 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 If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the image of a triangulation station of R.L. 500 m is 4 cm from the principal point of a vertical photo taken from an altitude of 2000 m, above datum, the height displacement will be A. 2 mm B. 4 mm C. 6 mm D. 10 mm.?.
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