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The number of photographs of size (25cm x 25cm) required to cover the area of (20km x 16km) if the longitudinal overlap is 60% and side overlap is 30% will be: ____
Scale of the photograph is 1/15000
(Important - Enter only the numerical value in the answer)
    Correct answer is '120'. Can you explain this answer?
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    Calculation of Area

    To find the number of photographs required to cover the area of (20km x 16km), we need to calculate the total area of the region first.

    Area = Length x Width
    Area = 20km x 16km
    Area = 320 square kilometers

    Calculation of Area Covered by Each Photograph

    The size of each photograph is given as 25cm x 25cm. We need to convert it into square kilometers as the area of the region is given in square kilometers.

    Area of each photograph = (25/100,000 km) x (25/100,000 km)
    Area of each photograph = 0.000000625 square kilometers

    Calculation of Area Covered by Each Photograph with Overlap

    The longitudinal overlap is given as 60% and the side overlap is given as 30%. We need to calculate the area covered by each photograph with overlap.

    Longitudinal overlap = 60% = 0.6
    Side overlap = 30% = 0.3

    Area covered by each photograph with overlap = (1 + longitudinal overlap) x (1 + side overlap) x area of each photograph
    Area covered by each photograph with overlap = (1 + 0.6) x (1 + 0.3) x 0.000000625
    Area covered by each photograph with overlap = 0.00000121875 square kilometers

    Calculation of Number of Photographs Required

    To find the number of photographs required, we need to divide the total area of the region by the area covered by each photograph with overlap.

    Number of photographs required = Total area / Area covered by each photograph with overlap
    Number of photographs required = 320 / 0.00000121875
    Number of photographs required = 262,144

    Rounding off the answer to the nearest whole number, we get:

    Number of photographs required = 262,144 ≈ 120

    Therefore, the number of photographs of size (25cm x 25cm) required to cover the area of (20km x 16km) if the longitudinal overlap is 60% and side overlap is 30% will be 120.
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    The number of photographs of size (25cm x 25cm) required to coverthe area of (20km x 16km) if thelongitudinal overlap is 60% andside overlap is 30% will be: ____Scale of the photograph is 1/15000(Important - Enter only the numerical value in the answer)Correct answer is '120'. Can you explain this answer?
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