The Whole Circle Bearing (WCB) of line AB is 150◦. The length of AB is 100 m. The latitude and departure values, respectively, for this line are:
Correct Answer :
-86.60 ; +50.00
Solution :
To find the latitude and departure of line AB, we use the standard surveying definitions for these coordinates.
The latitude () of a line is its projection on the North-South meridian. It is calculated as:
where:
- is the length of the line.
- is the Whole Circle Bearing (WCB) of the line.
The departure () of a line is its projection on the East-West parallel. It is calculated as:
Given data:
- Length of the line () = 100 m
- Whole Circle Bearing () = 150°
Now, let's compute the latitude:
Since , we have:
Next, let's compute the departure:
Since , we have:
Therefore, the latitude is -86.60 and the departure is +50.00.
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