The top (point M) of a chimney was sighted from two stations B and S at very different levels, the station B and S being in line with the top of the chimney. The angle of elevation from B to the top of the chimney was 38°21' and that from S to the top of the chimney was 21°18'. The angle of elevation from S to a vane 2m above the foot of the staff held at B was 15°11'. The height of the instrument at B and S were 1.87 m and 1.64 m respectively. The horizontal distance between B and S was 127 m and the reduced level (RL) of S was 112.78 m. a) Find the horizontal distance from B to the chimney b) determine the R.L. of the top of the chimney.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The top (point M) of a chimney was sighted from two stations B and S at very different levels, the station B and S being in line with the top of the chimney. The angle of elevation from B to the top of the chimney was 38°21' and that from S to the top of the chimney was 21°18'. The angle of elevation from S to a vane 2m above the foot of the staff held at B was 15°11'. The height of the instrument at B and S were 1.87 m and 1.64 m respectively. The horizontal distance between B and S was 127 m and the reduced level (RL) of S was 112.78 m. a) Find the horizontal distance from B to the chimney b) determine the R.L. of the top of the chimney.

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