Solution:

Given,
Linear error (l) = 0.01 m
Length of Traverse (L) = 50 m

To find,
Angular error (A) = ?

Formula used:

The formula used to find the angular error is:

A = l / L

Where,
A = Angular error
l = Linear error
L = Length of Traverse

Calculation:

Substitute the given values in the formula, we get

A = l / L
A = 0.01 / 50
A = 0.0002 radians

Therefore, the angular error considering equal precision will be 0.0002 radians.

Explanation:

Traverse is the process of measuring the angles and distances between the control points on the ground, which are used to determine the shape and size of the land. Traverse surveying is a type of surveying method that is used to determine the approximate positions of the control points.

The angular error is the angle that is formed between the two lines from the control points to the point being surveyed. It is the measure of the accuracy of the angular measurements taken during the traverse survey.

In this problem, we are given the linear error in the traverse survey as 0.01 m. The linear error is the difference between the measured distance and the actual distance between the control points. The angular error is calculated using the formula A = l / L, where l is the linear error and L is the length of the traverse.

The angular error obtained is in radians. Radians are a unit used to measure angles in mathematics and physics. It is defined as the ratio of the length of an arc to its radius. One radian is equal to 57.3 degrees.

Therefore, the angular error in this problem is 0.0002 radians or 0.0115 degrees. This means that there is a very small error in the angular measurements in the traverse survey.

For ANGULAR ERROR(A)(Radians) = Linear errror/length

A = 0.01/50 =1/5000 = 0.0002 Radians

To Convert into seconds

1 radian = 206265(206264.80)

0.0002 × 206265 = 41.25(41 second)

To convert into Degree

1 Degree= 180/π × radian
(180/π)×0.0002 =0.011459 Degree