GATE CE 2025 Set 2 — Question 65
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Geomatics Engineering → Maps & Coordinate Systems → Bearings & Azimuths
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Question
If the Fore Bearing of the lines AB and BC are and , respectively, then the interior angle (in degrees) is ______ (round off to the nearest integer).
Correct answer
118 to 118
Solution
Given:
Fore Bearing of AB () =
Fore Bearing of BC () = Step 1: Calculate the Back Bearing of AB ().
Step 2: Calculate the interior angle .
The interior angle is the angle measured between the lines BA and BC. It can be calculated as the difference between the back bearing of the preceding line (BA) and the fore bearing of the succeeding line (BC).
Interior angle
Since is less than , it is the interior angle. If the result were greater than , we would subtract it from to find the interior angle.Therefore, the interior angle is .
Fore Bearing of AB () =
Fore Bearing of BC () = Step 1: Calculate the Back Bearing of AB ().
Step 2: Calculate the interior angle .
The interior angle is the angle measured between the lines BA and BC. It can be calculated as the difference between the back bearing of the preceding line (BA) and the fore bearing of the succeeding line (BC).
Interior angle
Since is less than , it is the interior angle. If the result were greater than , we would subtract it from to find the interior angle.Therefore, the interior angle is .
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