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The measured co-ordinates on the vertical photographs are
Xa = +15.50 mm
Ya = -71.20 mm
Xb = +109.20 mm
Yb = -25.20 mm
The elevations of a and b are 502 m and 525 m respectively. If the flying height above the datum is 1670 m, the ground distance of a line AB will be ______ m.
Assume focal length to be 158 mm.
    Correct answer is '757-762'. Can you explain this answer?
    Verified Answer
    The measured co-ordinates on the vertical photographs areXa= +15.50 mm...
    Concept:
    The distance AB on ground is given by:
    Calculation:
    ha = 502 m, hb = 525 m
    H = 1670 m
    xa = +15.50 mm
    xb = = +109.20 mm
    ya = -71.20 mm
    yb = -25.20 mm
    Xb = 791.35 m
    Xa = 114.58 m
    Yb = -182.62 m
    Ya = -526.34 m
    AB = 759.05 m
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    Most Upvoted Answer
    The measured co-ordinates on the vertical photographs areXa= +15.50 mm...
    Calculating the Ground Distance of Line AB:
    To calculate the ground distance of line AB, we can use the formula:
    Ground Distance = Flying Height * (Yb - Ya) / (f * (1 - (Zb - Za) / Flying Height))
    Where:
    - Flying Height = 1670 m
    - Ya = -71.20 mm
    - Yb = -25.20 mm
    - f = 158 mm (focal length)
    - Za = 502 m
    - Zb = 525 m

    Calculations:
    Ground Distance = 1670 * (-25.20 - (-71.20)) / (158 * (1 - (525 - 502) / 1670))
    Ground Distance = 1670 * 46 / (158 * (1 - 23 / 1670))
    Ground Distance = 76,820 / (158 * 0.9863)
    Ground Distance = 76,820 / 155.93
    Ground Distance ≈ 493.47 m
    Therefore, the ground distance of line AB is approximately 493.47 m.
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    The measured co-ordinates on the vertical photographs areXa= +15.50 mmYa= -71.20 mmXb= +109.20 mmYb= -25.20 mmThe elevations of a and b are 502 m and 525 m respectively. If the flying height above the datum is 1670 m, the ground distance of a line AB will be ______ m.Assume focal length to be 158 mm.Correct answer is '757-762'. Can you explain this answer?
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