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A vertical photograph was taken from an aircraft flying at an altitude of 2000 m above mean sea level. The focal length of the camera is 175 mm. The scale of the photograph for a hill of an elevation of 250 m is?
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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.
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A vertical photograph was taken from an aircraft flying at an altitude of 2000 m above mean sea level. The focal length of the camera is 175 mm. The scale of the photograph for a hill of an elevation of 250 m is?
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