Question
Download Solution PDFWhat are the latitude and the departure of a 300 m traverse line with a bearing of 240°?
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
Given that
α = 240
L= 300 m
So
Latitude = L cos α
Departure = L sin α
Latitude = -300 × cos (240°) = - 150 m
Departure = -300 × sin 240 = - \(\frac{450}{\sqrt{3}}\) m
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