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Hello online beavers , in this lecture video I've completely explained the concept of Trigonometric Levelling and solved 5 different conceptual numerical based on different cases of trigonometric levelling . Timestamps: 0:00 - Introduction 5:24 - Case I-Base of the object is accessible 17:30 - Case II-Base of the object is inaccessible 24:22 - Instrument axes are at different levels but the difference in level is small 40:41 - Instrument axes are at different levels but the difference in level is more 50:26 -Case III-Base of the object inaccessible and instrument stations and elevated objects are in different plane 59:36 - Numerical 1 1:06:04 - Numerical 2 1:17:25 - Numerical 3 1:28:11 - Numerical 4 1:41:52 - Numerical 5 Trigonometric Levelling is the process of determining the difference in elevations of stations from -observed vertical angles and -known distances, which are assumed to be either horizontal or geodetic lengths at mean seal level. Different Cases Of Trigonometric Levelling: I. Base of object is accessible II. Base of object inaccessible and instrument stations and the elevated object are in the same vertical plane III. Base of object inaccessible and instrument stations and the elevated object are not in the same vertical plane Numerical 1 - An instrument was setup at A and angle of elevation of top of an electric pole BC was 24 ̊36’. The horizontal distance between A and B, the foot of pole was 600 m. Determine the RL of top of pole, if the staff reading held on BM (RL of 100 m) was 2.532 m, with telescope in horizontal plane. Numerical 2 - To determine the RL of top of television tower surrounded by transmission buildings and other administrative blocks, a theodolite was setup at A in an adjoining park and angle of elevation α1, was measured and found to be 33 ̊17’. The reading on a staff held on BM with telescope in horizontal plane was 1.585 m. The theodolite was transited and another point B 100 m away was fixed. The angle of elevation of top was measured at B and found to be 26 ̊24’. The reading on the staff held on BM was again 1.585 m. If RL of BM is 294.819 m, calculate RL of top of television tower. Numerical 3 - To determine the elevation of top of chimney following observations were made: The top of chimney and stations P and Q are in same vertical plane, PQ is 100 m. If RL of BM is 100 m, determine the elevation of top of chimney. Numerical 4 - Find the RL of a church spire C from the following observations taken from two stations A and B, 50 m apart, ∡BAC = 60°, ∡ABC = 50°, Angle of elevation from A to top spire = 30 ̊, Angle of elevation from B to top spire = 29 ̊, Staff reading from A on BM of RL 20 m = 2.500 m, Staff reading from B to same BM = 0.500 m. Numerical 5 - The top (Q) of chimney was sighted from two stations P and R at very different levels, the stations P and R being in line with the top of the chimney. The angle of elevation from P to top of chimney was 38 ̊21’ and that from R to the top of chimney was 21 ̊18’. The angle of elevation from R to a vane 2 m above the foot of staff held at P was 15 ̊11’. The heights of instrument at P and R were 1.87 m and 1.64 m respectively. The horizontal distance between P and R was 127 m and RL of R was 112.78 m. Find the RL of top of chimney and horizontal distance from P to the chimney. Your Queries: What is Trigonometric Levelling ? What are the different cases of Trigonometric Levelling ? Different Classification of Trigonometric Levelling Numericals on Trigonometric Levelling #Trigonometric_Levelling #TrigonometricLevelling_Numericals #Survey