GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 50 of 65

Marks: +1, -0

A staff is placed on a benchmark (BM) of reduced level (RL)

100.000 {m}

and a theodolite is placed at a horizontal distance of

50 {m}

from the

{BM}

to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of

0.400 {m}

and

2.400 {m}

are found to be the same. Taking the height of the instrument as

1.400 {m}

, the

{RL}

(in

{m}

) of the theodolite station is ___________________-

Solution:

\tan θ=\;{2.4-x}/{50}=\;{x-0.4}/{50}

2 x=2.8

{x}=1.4 {m}

H.O.I

=100+1.4

=101.4 {m}

{RL}

of theodelite station

=101.4-

theodolite hight

=101.4-1.4

=100 {m}

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