GATE CE 2018 Set 2 — Question 65
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Geomatics Engineering → Photogrammetry → Flying Height
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Question
An aerial photograph of a terrain having an average elevation of 1400 m is taken at a scale of 1:7500. The focal length of the camera is 15 cm. The altitude of the flight above mean sea level (in m, up to one decimal place) is ______
Correct answer
2520 to 2530
Solution
The scale of an aerial photograph is determined by the relationship between the focal length of the camera and the height of the camera above the terrain. The formula for the scale () is:Where:
- is the focal length of the camera.
- is the flying height (altitude) of the aircraft above mean sea level (MSL).
- is the average elevation of the terrain above MSL.
- Scale () =
- Focal length () =
- Average elevation () =
1.Substitute the known values into the scale formula:
2.Cross-multiply to solve for :
3.Solve for :
The altitude of the flight above mean sea level is .Continue learning with Success Tracker
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