04 MENGIKAT KE MUKA

Summary

This tutorial introduces the method of 'mengikat kemuka,' a horizontal measurement technique in land surveying. The process involves determining the coordinates of an unknown point (R) using two known points (P and Q). The procedure includes calculating azimuths, distances, and angles between points, followed by applying trigonometric formulas to derive the new point’s coordinates. The final coordinates are determined by averaging the results from both points. This method is crucial in geodesy and surveying, especially for determining positions in the field with precision.

Takeaways

• 😀 The 'Mengikat Kemuka' method is a horizontal measurement technique used in land surveying to determine the coordinates of a point (R) based on two known points (P and Q).
• 😀 The first step involves calculating the azimuth of PQ, which is derived from the difference between the X and Y coordinates of points P and Q.
• 😀 The distance between points P and Q is calculated using the Pythagorean theorem.
• 😀 To determine the azimuth of PR, the angle between PQ and PR (Alpha) is subtracted from the azimuth of PQ.
• 😀 The azimuth of QR is determined by adding 180° and the angle Beta to the azimuth of PQ.
• 😀 Distances PR and QR are calculated using sine formulas based on the angles Gamma, Alpha, and Beta in triangle PQR.
• 😀 The coordinates of point R are calculated by applying the known distances and angles from points P and Q.
• 😀 The final X and Y coordinates of point R are obtained by averaging the results from both point P and point Q.
• 😀 The process of finding point R’s coordinates involves calculating azimuths, distances, and angles, all based on basic trigonometric principles.
• 😀 The 'Mengikat Kemuka' method requires the use of trigonometry and geometry to accurately determine the unknown point’s coordinates from known points.
• 😀 As a result, point R’s coordinates are determined from the known coordinates of points P and Q using a series of calculations, making it a reliable method for horizontal measurement.

Q & A

What is the method discussed in the script for horizontal measurements in land surveying?

The method discussed is called 'mengikat kemuka,' which is a technique used for horizontal measurements in land surveying to determine coordinates of a point by referencing two other known points.

How is the coordinate of a point determined using the 'mengikat kemuka' method?

The coordinate of a point is determined by using two known points, P and Q, and applying trigonometric calculations such as azimuth, distance, and angular differences to find the coordinates of point R.

What are the first steps in the procedure of calculating coordinates using the 'mengikat kemuka' method?

The first steps include calculating the azimuth of the line PQ and determining the distance between the two points, P and Q.

How is the azimuth of the line PQ calculated?

The azimuth of PQ is calculated using the Argus method, by finding the difference between the X and Y coordinates of points P and Q.

What role does the Pythagorean theorem play in the procedure?

The Pythagorean theorem is used to calculate the distance between the points P and Q by finding the difference in their X and Y coordinates.

What is the next step after calculating the azimuth and distance of PQ?

The next step is to calculate the azimuth and distance of lines PR and QR, which involves using the initial azimuth and applying angular differences to find the azimuths of these new lines.

How is the azimuth of line PR calculated?

The azimuth of PR is found by subtracting the angle between PR and PQ (denoted as alpha) from the azimuth of PQ.

How is the azimuth of line QR calculated?

The azimuth of QR is calculated by adding 180 degrees to the azimuth of PQ and then adding the angle beta.

How are the distances from P to R and from Q to R calculated?

The distances are calculated using the sine rule in the triangle PQR. The distance from P to R is determined by dividing the distance PQ by the sine of gamma, multiplied by the sine of beta. Similarly, the distance from Q to R is calculated by dividing the distance PQ by gamma, multiplied by the sine of alpha.

How are the coordinates of point R determined?

The coordinates of point R are determined by applying trigonometric formulas using the known coordinates of points P and Q, along with the calculated distances and azimuths.

What is the final step in determining the coordinates of point R?

The final step is to average the calculated X and Y coordinates to obtain the final coordinates of point R.