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A camera with a focal length of $20$ cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is $1200 \: m$ above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of $1:8000$?

  1. $2600 \: m$
  2. $2800 \: m$
  3. $3000 \: m$
  4. $3200 \: m$
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