GATE CE 2016 Set 2 — Question 65
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Geomatics Engineering → Photogrammetry → Relief Displacement
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Question
A tall tower was photographed from an elevation of 700 m above the datum. The radial distances of the top and bottom of the tower from the principal points are 112.50 mm and 82.40 mm, respectively. If the bottom of the tower is at an elevation 250 m above the datum, then the height (expressed in m) of the tower is _________
Correct answer
120 to 121
Solution
Relief displacement () is the displacement of the image of an object from its true position due to its height above or below the datum. It is calculated as the difference between the radial distance of the top () and the bottom () of the tower from the principal point:The formula for relief displacement () for an object whose base is at an elevation above the datum is given by:where:
- is the height of the tower.
- is the flying height above the datum ().
- is the elevation of the base of the tower above the datum ().
- is the radial distance of the top of the tower from the principal point ().
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