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Question

A tacheometer was placed at point P to estimate the horizontal distances PQ and PR. The corresponding stadia intercepts with the telescope kept horizontal are 0.320 and 0.210 m respectively. The QPR is measured to be 613030′′ . If the stadia multiplication constant = 100 and stadia addition constant = 0.10 m. The horizontal distance (in m) between the points Q and R is____

  1. 28.8

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Solution

The correct option is A 28.8
Given:

K = 100

C = 0.10 m

We know that,

horizontal distance is equal to k.S. + C . where S is staff intercept.

PQ = K .(s) + C

=100(0.320)+0.10

= 32.1 m

Similarly, PR=100×0.21+0.1

= 21.1m

By cosine law,

QR=PQ2+PR22×PQ×PRcos603030

= 28.799

28.8 m

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