GATE CE 2020 Set 2 — Question 48
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumTrigonometric LevellingLevellingGeomatics Engineering
Geomatics Engineering → Levelling → Trigonometric Levelling
Last updated
Question
A theodolite was set up at a station P. The angle of depression to a vane 2 m above the foot of a staff held at another station Q was . The horizontal distance between stations P and Q is 20 m. The staff reading at a benchmark S of RL 433.050 m is 2.905 m. Neglecting the errors due to curvature and refraction, the RL of the station Q (in m), is
Correct answer
(B) 413.955
Solution
1.Calculate RL of Height of Instrument (HI) at P:
RL of HI = RL of BM + Staff reading at BM = m.2.Calculate vertical distance (V) from HI to the vane at Q:
m.3.Since it is an angle of depression, the vane is below the HI:
RL of vane = RL of HI - m.4.Calculate RL of station Q (foot of the staff):
RL of Q = RL of vane - height of vane = m.Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Levelling
2026 Set 1 Q20The Whole Circle Bearing (WCB) of line is . The length of is 100 m. The…2026 Set 2 Q26Which one of the following statements is TRUE with respect to levelling survey?2026 Set 1 Q34A 30 m long tape is standardized at 25 C. It was used to measure the length of a line which…2026 Set 2 Q35A tourist visiting a city holds a map prepared at a scale of . The tourist measures the…2026 Set 1 Q35The height of the plane of collimation of a levelling instrument is 100.000 m from a datum. The…