The height of a transit station has been computed from the measurement of a slope distance L = 279.1 ± 0.06 m and of a vertical angle α=3o20′±30", the probable error in the calculated elevation of station A (in cm) is _______.
A
± 5.4
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B
±6.2
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C
±2.4
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D
±3.6
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Solution
The correct option is A± 5.4 H=Lsinα⇒dHdL=sinα=sin3020′ dHdα=Lcosα=279.1×0.9983=278.6255