Civil Engineering - Surveying - Discussion

Discussion Forum : Surveying - Section 4 (Q.No. 41)
41.
α, β are the horizontal angles measured at the ends of a base line AB to a hill top whose angle of elevation from station A is θ°. The height of the hill top above the trunnion axis of the theodolite station, is
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
5 comments Page 1 of 1.

Gajendra Raj Joshi said:   2 years ago
The correct option should be A if the horizontal angle at A and B are respectively α and β.

Pkota said:   4 years ago
Didn't understand. Please explain in detail.

Saif said:   5 years ago
The angle α should be extended at station A and β at station B. So, option A turns is right.
(1)

Saif said:   5 years ago
@Kcube.

You are right, Thanks.

Kcube said:   6 years ago
The correct answer should be Option A.

AC/Sinβ=BC/sinα=AB/sin[180-(α+β)]--------------properties of triangle.

AC=AB Sinβ / sin[180-(α+β)].

the vertical angle at A to the top of Hill is given as θ.

therefore---------H(height of hill) = AC tanθ

or H = AB sinβ tanθ/sin[180-(α+β)]
(2)

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