To find the elevation of the top of a hill, a flag staff of 3m height was erected with its top at Q. Observations were made from two stations A and B, 50m apart and not in line with Q. the angles of elevation to the top of the flag staff from the stations A and B were measured as, respectively, 11°40' and 12°17'. The horizontal angle measured at A between B and the top of the flag staff was 55°30' and that measured at B between A and the top of the flag staff was 60°15'. If the staff reading on B.M. with an elevation of 345.450 when the instrument was at A and the line of sight was horizontal was 1.855m, calculate the elevation of the top of the hill. Also check the result if the staff reading on B.M. when the instrument was at B was 1.846m.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
To find the elevation of the top of a hill, a flag staff of 3m height was erected with its top at Q.
Observations were made from two stations A and B, 50m apart and not in line with Q. the angles
of elevation to the top of the flag staff from the stations A and B were measured as, respectively,
11°40' and 12°17'. The horizontal angle measured at A between B and the top of the flag staff
was 55°30' and that measured at B between A and the top of the flag staff was 60°15'.
If the staff reading on B.M. with an elevation of 345.450 when the instrument was at A and
the line of sight was horizontal was 1.855m, calculate the elevation of the top of the hill. Also
check the result if the staff reading on B.M. when the instrument was at B was 1.846m.
Transcribed Image Text:To find the elevation of the top of a hill, a flag staff of 3m height was erected with its top at Q. Observations were made from two stations A and B, 50m apart and not in line with Q. the angles of elevation to the top of the flag staff from the stations A and B were measured as, respectively, 11°40' and 12°17'. The horizontal angle measured at A between B and the top of the flag staff was 55°30' and that measured at B between A and the top of the flag staff was 60°15'. If the staff reading on B.M. with an elevation of 345.450 when the instrument was at A and the line of sight was horizontal was 1.855m, calculate the elevation of the top of the hill. Also check the result if the staff reading on B.M. when the instrument was at B was 1.846m.
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