A road section of 1 km scales 6 cm on a vertical photograph. The focal length of the camera is 150 mm. If the terrain is nearly plain, then the flying height of the aircraft will be
- A2500 mCorrect
- B25 km
- C250 km
- D250 m
Solution
Concept
Scale of an aerial photograph
Formula
Scale = f / H = (photo distance) / (ground distance)
Step-by-step solution
1. Photo distance 6 cm for a ground distance of 1 km = 1,00,000 cm. 2. Scale = 6 / 100000 = 1 / 16667. 3. f/H = 1/16667, so H = 0.15 m × 16667 = 2500 m.
Explanation
For a vertical photograph of flat terrain, scale = focal length ÷ flying height above ground. The scale is found from a known ground distance and its length on the photograph.
Shortcut
H = f × (ground length ÷ photo length) = 0.15 × (1000/0.06) = 2500 m.
Common mistake
Converting units wrongly (mm, cm, m, km).
Correct answer: A) 2500 m