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Real-Life Math

Photogrammetric technicians are required to study complex mathematical equations, including advanced algebra and calculus. Although most of these calculations require advanced study, at the simplest level it is important to know how to calculate the scaling of a map.

If you look at a map in an atlas, you'll notice the legend explains that 1 inch = 1,000 miles, for instance. This ratio is what's called the scale of a map.

The scale of a map is calculated in 2 ways.

The first way is determined by dividing the distance on the ground by the distance on a map. A second method of calculating the scale requires dividing the flight height by the focal length of the camera.

  1. You are shown a map with 2 street intersections. The distance between them on the map is 2 inches. The actual distance on the ground is 2,000 feet. What is the scale?
  2. The flight height (the height the plane was flying when the photograph was taken) is 3,000 feet. The focal length of the camera is 6 inches. What is the scale?

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