GATE CE 2023 Set 2 — Question 46
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Geomatics Engineering → Traversing & Triangulation → Traverse Computations
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Question
A delivery agent is at a location R. To deliver the order, she is instructed to travel to location P along straight-line paths of RC, CA, AB and BP of 5 km each. The direction of each path is given in the table below as whole circle bearings. Assume that the latitude (L) and departure (D) of R is (0, 0) km. What is the latitude and departure of P (in km, rounded off to one decimal place)?
| Paths | RC | CA | AB | BP |
|---|---|---|---|---|
| Directions (in degrees) | 120 | 0 | 90 | 240 |
Correct answer
(B) L = 0.0; D = 5.0
Solution
The latitude () and departure () for a line of length and bearing are given by:
Given km for all paths. Total Latitude and Departure of P relative to R (0,0):Total Latitude ():
kmTotal Departure ():
kmThus, and , which is option (B).
Given km for all paths. Total Latitude and Departure of P relative to R (0,0):Total Latitude ():
kmTotal Departure ():
kmThus, and , which is option (B).
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