Number of photographs required to cover an area 40km × 30 km, if the scale is 1 in 15000 and the format is 300 mm × 300 mm (take longitudinal overlap $p_{l}$ as 60% and the side lap $p_{w} a s 30)$ %, is _______

264

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232

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178

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162

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Solution

The correct option is A 264
The numbers of photographs required are:-

$N = ⎛ ⎜ ⎝ \frac{L_{1}}{(1 - p_{l}) \frac{l}{S}} + 1 ⎤ ⎥ ⎦ \times ⎛ ⎜ ⎝ \frac{W_{1}}{(1 - p_{w}) \frac{W}{S}} + 1 ⎤ ⎥ ⎦ = ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ \frac{40 \times 10^{3}}{⎛ ⎜ ⎜ ⎝ 1 - 0.6 ⎞ ⎟ ⎟ ⎠ \times \frac{0.3}{(\frac{1}{15000})}} + 1 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ + ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ \frac{30 \times 10^{3}}{⎛ ⎜ ⎜ ⎝ 1 - 0.3 ⎞ ⎟ ⎟ ⎠ \times \frac{0.3}{(\frac{1}{15000})}} + 1 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦$

$= 24 \times 11 = 264$

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