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While performing a chain survey, a river was encountered along the chain line BAC. To overcome the obstacle a line AD close to the river bed and perpendicular to the chain line was set. The length of AD was measured as 40m and the angle ADC as 60°. The chainage of A is 210 m. Calculate the chainage of C on the other side of the river.
  • a)
    265.28 m
  • b)
    275.28 m
  • c)
    279.28 m
  • d)
    269.28 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
While performing a chain survey, a river was encountered along the cha...

tan 60o = AC/ AD
AC = tan60o x AD = tan 60° x 40 m
AC = 40 x √3 = 69.28 m
Chainage of point C = chainage of A + AC = 210 + 69.28 = 279.28 m.
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Community Answer
While performing a chain survey, a river was encountered along the cha...
Understanding the Problem
In a chain survey, we need to calculate the chainage of point C, given the measurements from point A and the angle at point D.
Given Data
- Length of AD = 40 m
- Angle ADC = 60 degrees
- Chainage of A = 210 m
Calculating Chainage of C
1. Determine Length of DC
Using the right triangle ADC, where angle ADC is 60 degrees, we can apply basic trigonometry to find the length of DC.
- DC = AD * tan(ADC)
- DC = 40 m * tan(60 degrees)
- tan(60 degrees) = √3
- DC = 40 m * √3 ≈ 40 m * 1.732 = 69.28 m
2. Calculate Chainage of C
Now, we can find the chainage of point C by adding the chainage of point A and the length of DC.
- Chainage of C = Chainage of A + DC
- Chainage of C = 210 m + 69.28 m
- Chainage of C = 279.28 m
Conclusion
The calculated chainage of point C on the other side of the river is 279.28 m. Hence, the correct answer is:
Option C: 279.28 m
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While performing a chain survey, a river was encountered along the chain line BAC. To overcome the obstacle a line AD close to the river bed and perpendicular to the chain line was set. The length of AD was measured as 40m and the angle ADC as 60°. The chainage of A is 210 m. Calculate the chainage of C on the other side of the river.a)265.28 mb)275.28 mc)279.28 md)269.28 mCorrect answer is option 'C'. Can you explain this answer?
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While performing a chain survey, a river was encountered along the chain line BAC. To overcome the obstacle a line AD close to the river bed and perpendicular to the chain line was set. The length of AD was measured as 40m and the angle ADC as 60°. The chainage of A is 210 m. Calculate the chainage of C on the other side of the river.a)265.28 mb)275.28 mc)279.28 md)269.28 mCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about While performing a chain survey, a river was encountered along the chain line BAC. To overcome the obstacle a line AD close to the river bed and perpendicular to the chain line was set. The length of AD was measured as 40m and the angle ADC as 60°. The chainage of A is 210 m. Calculate the chainage of C on the other side of the river.a)265.28 mb)275.28 mc)279.28 md)269.28 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While performing a chain survey, a river was encountered along the chain line BAC. To overcome the obstacle a line AD close to the river bed and perpendicular to the chain line was set. The length of AD was measured as 40m and the angle ADC as 60°. The chainage of A is 210 m. Calculate the chainage of C on the other side of the river.a)265.28 mb)275.28 mc)279.28 md)269.28 mCorrect answer is option 'C'. Can you explain this answer?.
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