Question

An open traverse that runs from A to H has the following deflection angles: B = 1°03' R; C = 2°58' R; D=7°24' L; E = 6°31' L; F = 1°31' R; G = 8°09' L. If the bearing of AB is N 20°41' E, compute the bearings of the remaining sides.

Answer 1

To find the bearings of an open traverse with six deflection angles, you start with the known bearing of AB, then sequentially either add or subtract each deflection angle to find the bearings of the subsequent segments, depending on whether the deflection is to the right (R) or to the left (L).

Step-by-step explanation:

The subject of this question is Mathematics, specifically involving calculations with angles and bearings used in surveying and trigonometry. To compute the bearings of the remaining sides of an open traverse, we start with the known bearing of AB and adjust it by adding or subtracting each deflection angle to find the bearing of each subsequent line segment. The deflection angle is added if it is to the right (R) and subtracted if it is to the left (L).

Given the initial bearing of AB is N 20°41' E, we follow these steps:

1. To find the bearing of BC, add the deflection angle of B (1°03' R) to the bearing of AB.
2. For CD, add the deflection angle of C (2°58' R) to the new bearing of BC.
3. Continue this process, alternating between adding and subtracting the deflection angles based on their given direction (R or L), to find the bearings of DE, EF, FG, and GH.

Remember to adjust for any crossing over from one quadrant of the compass to another (e.g., from north to south or east to west) and to keep track of whether you are working with an easterly or westerly bearing.