Title MSTE 32 Solutions.pdf ✅

32 Surveying: Area Computations Solutions SITUATION 1. Consider the given data for a closed traverse: Line Bearing Distance (m) 1-2 N 30° E 120.2 2-3 N 78° E 90.2 3-4 S 32° E 88.4 4-1 S 76.215° W 200.96 ▣ 1. Find the DMD of line 1-2. [SOLUTION] Line Bearing Distance (m) Latitude Departure DMD 1-2 N 30° E 120.2 104.096 60.1 60.1 2-3 N 78° E 90.2 18.754 88.229 208.429 3-4 S 32° E 88.4 -74.967 46.845 343.503 4-1 S 76.215° W 200.96 -47.885 -195.172 195.176 DMD1−2 = 60.1 ▣ 2. Find the DPD of line 4-1. [SOLUTION] Line Bearing Distance (m) Latitude Departure DPD 1-2 N 30° E 120.2 104.096 60.1 104.096 2-3 N 78° E 90.2 18.754 88.229 226.946 3-4 S 32° E 88.4 -74.967 46.845 170.733 4-1 S 76.215° W 200.96 -47.885 -195.172 47.881 DPD4−1 = 47.881 ▣ 3. Find the area using DMD. [SOLUTION] Latitude Departure DMD 2A 104.096 60.1 60.1 6256.1696 18.754 88.229 208.429 3908.877 -74.967 46.845 343.503 -25751.3894 -47.885 -195.172 195.176 -9346.00276 TOTAL -24932.34556