GATE CE 2024 Set 1 — Question 65
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Geomatics Engineering → Levelling → Trigonometric Levelling
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Question
A bird is resting on a point P at a height of m above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground surface and reaches a point Q which is located at a height of m above MSL. The ground surface has a falling gradient of in . Ignoring the effects of curvature and refraction, the horizontal distance (in meters) between points P and Q is _______________ (in integer).
Correct answer
10 to 10
Solution
Let the height of the bird above the ground be . Since the bird flies parallel to the ground surface, this height remains constant throughout the flight from P to Q.
1.Determine ground elevations:
- Elevation of ground at point P () = Elevation of P Height of bird above ground =
- Elevation of ground at point Q () = Elevation of Q Height of bird above ground =
- Vertical drop () = m
- The ground surface has a falling gradient of in . This means for every units of horizontal distance, there is a vertical drop of unit.
- m
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