GATE CE 2017 Set 2 — Question 38
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Geomatics Engineering → Photogrammetry → Relief Displacement
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Question
Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.
The length of the image of the tower A on the photograph is 1.5 cm and of the tower B is 2.0 cm. The distance of the top of the tower A (as shown by the arrowhead) is 4.0 cm and the distance of the top of the tower B is 6.0 cm, as measured from the principal point of the photograph. If the height of the tower B is 80 m, the height (in meters) of the tower A is

Correct answer
89 to 91
Solution
Relief displacement is given by the formula , where is the distance of the top of the object from the principal point, is the height of the object, and is the flying height above the ground.For tower B:
cm
cm
m
mFor tower A:
cm
cm
m.The height of tower A is 90 m.
cm
cm
m
mFor tower A:
cm
cm
m.The height of tower A is 90 m.
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