Reduced bearing of any line is '0' and length is '1', then what will be the latitude of line? 

Concept:

To calculate the latitude of a line in surveying, we use the projection of the line length on the north-south axis. When the reduced bearing of a line is $0^\circ$ , it means the line is perfectly aligned along the north-south axis.

Calculation:

Given:

• Reduced bearing $\theta = 0^\circ$
• Length of the line $L = 1$

Latitude Calculation:

Since the reduced bearing is $0^\circ$ , the line is perfectly aligned along the north-south axis, and thus the latitude component will be:

\(\text{Latitude} = L \cos(\theta) \)

Substituting the given values:

\(\theta = 0^\circ \)

\(\cos(0^\circ) = 1 \)

Therefore, the latitude of the line is:

\(\text{Latitude} = 1 \times \cos(0^\circ) = 1 \)

Conclusion:

The latitude of the line is  $L = +1 \cos(\theta)$