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A leveling is carried out to establish the Reduced Levels (RL) of point R with respect to the Bench Mark (BM) at P. The staff readings taken are given below.

Staff 

Station

BS

IS

FS

RL

P

1.655

 

 

100.00 m

Q

- 0.950    

 

-1.500

 

R

 

 

0.750

?

If RL of P is +100.000 m, then RL (in m) of R is


1.  103.355
2. 103.155
3. 101.455
4. 100.355

1 Answer

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by (111k points)
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Best answer
Correct Answer - Option 3 : 101.455

Explanation:

Given

Staff 

Station

BS

IS

FS

RL

P

1.655

 

 

100.00 m

Q

- 0.950    

 

-1.500

 

R

 

 

0.750

?

We know

Height of Instrument (HI) = RL + Back sight (BS)

RL at any point = HI - Fore Sight (FS)

HI at P = 100 + 1.655 = 101.655 m

RL of Q = HI @ P - FS = 101.655 - (-1.500) = 103.155 m

HI @ Q = RL @Q + BS @ Q = 103.155 + (- 0.950) = 102.205

RL of R = HI @Q - FS @ Q = 102.205 - 0.750 = 101.455 m

S.NO.

BS

IS

FS

HI

RL

Remark

P

1.655

 

 

101.655

100

Bench Mark

Q

- 0.950    

 

-1.500

102.205

103.155

 

R

 

 

0.750

 

101.455

 

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