A vertical photograph was taken from an aircraft flying at an altitude...
Calculation of Scale of Photograph
Given:
- Altitude of aircraft (h) = 2000 m
- Focal length of camera (f) = 175 mm
- Elevation of hill (h') = 250 m
Formula:
Scale of photograph = (f/h) x (1/1000)
Calculation:
Converting focal length from mm to m
f = 175 mm = 0.175 m
Using the formula for scale of photograph
Scale of photograph = (0.175/2000) x (1/1000)
Scale of photograph = 0.0000875
Now, we need to find the ground distance represented by 1 cm on the photograph
Ground distance = (1 cm) x (scale of photograph)
Ground distance = (1 cm) x (0.0000875)
Ground distance = 0.0000875 m = 0.0875 cm
Finally, we need to find the scale of the photograph for the hill of elevation 250 m
Scale of photograph for hill = (elevation of hill) / (ground distance)
Scale of photograph for hill = 250 / 0.0875
Scale of photograph for hill = 2857.14
Answer:
The scale of the photograph for a hill of an elevation of 250 m is 1:2857.14.