Question

The photo coordinates on an image of a point 'A' on ground is (+31.21 mm, -40.12 mm). The elevation of point A is 150 m above the datum and the flying height is 1500m. The ground coordinates of point are: (f = 152.4 mm)

• A. (247.21 m, -312.26m)
• B. (246.47 m, - 355.39 m)
• C. (337.90 m, - 434.37 m)
• D. (307.18 m, - 394.88 m)

Answer 1

The correct option is B (246.47 m, - 355.39 m)

$Given,(x_A,y_A)=(+31.21,-40.12)$

H = 1500 m

f = 152.4 mm

$h_A=150m$

$X_A=x_a\left(\frac{H-h_A}{f}\right)$

$=31.21\left(\frac{1500-150}{152.4}\right)=276.47m$

$Y_A=y_A\left(\frac{H-h_A}{f}\right)$

$=-40.12\left(\frac{1500-150}{152.4}\right)$

$=-355.39m$

$\therefore$ Ground coordinates = (276.47, - 355.39)