Question

a man travels from a point A due west and reaches point B. The distance between the point A and B is 139.6 m. Calculate the latitude and departure of line AB​

Answer 1

Answer:

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.

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.

The latitude is the y component of the line (also known as northing), and the departure is the x component of the line (also known as easting).

Answer 2

Answer:

The man travels due west.

The reduced bearing of the line =90°

Latitude of the line AB = 139.6 cos(90°)

= 0 m.

Departure = - 139.6×sin(90°)

= -139. 6 m.

= 139.6 m due west