Question
Download Solution PDFIf the reduced bearing of a line AB is N60°W and length is 100 m, then the latitude and departure respectively of the line AB will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanaton
Latitude
The latitude of a line is its projection on the north-south meridian and is equal to the length of the line times the cosine of its bearing.
Departure
The departure of a line is its projection on the east-west meridian and is equal to the length of the line times the sine of its bearing.
Latitude = L cos α
Departure = L sin α
L = Length of AB
Calculations
here
N 60° W
So
Latitude = L cos α
Departure = L sin α
Latitude = 100 × cos (60°) = + 50m
Departure = -100 × sin 60 = - 86.6m
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