Question

Closed traverse ABCD has the following bearings: 45AB= N 45°20' E; BC=S 47°32' E; CD=S 14°55' W, DA=N 68°00' W. Compute the interior angles and provide a geometric check for your work.

Answer 1

To compute the interior angles of the closed traverse ABCD, subtract the bearings from 180°. For a geometric check, add up the interior angles and subtract the sum from 360°.

Step-by-step explanation:

To compute the interior angles of the closed traverse ABCD, we can use the formula:

Interior angle = 180° - Bearing

Using this formula, we can calculate the interior angles as follows:

1. A: 180° - 45°20' = 134°40'.
2. B: 180° - 47°32' = 132°28'.
3. C: 180° - 14°55' = 165°05'.
4. D: 180° - 68°00' = 112°00'.

To perform a geometric check, we can add up the interior angles and subtract the sum from 360°. If the result is close to zero, then our calculations are accurate.