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Mining Engineering · Q23

Mine Surveying

Engineering and GATE · Mining Engineering · question 23

Q23

The sum of included angles of closed traverse ABCDEFGA is . . . . . . . .

A.
1080°
Answer
B.
900°
C.
1260°
D.
720°

Answer: Option A

Solution

Answer: Option A
Solution:
The sum of the included angles of a closed traverse can be calculated using the formula:

Sum of included angles = (n - 2) × 180°

where n is the number of sides of the traverse.

For a closed traverse ABCDEFGA, there are 7 sides (n = 7).

Therefore, the sum of the included angles is:

(7 - 2) × 180° = 5 × 180° = 900° + 180° = 1080°.

Thus, Sum of included angles = 1080°.