What is the distance from triangulation station Balanacan to Baltazar (in meters)?

Prepare for the DMC Administrative Order Test No. 2007-29. Use flashcards, interactive quizzes, and detailed explanations for each question to enhance your understanding. Master the content with our comprehensive practice material and succeed!

Multiple Choice

What is the distance from triangulation station Balanacan to Baltazar (in meters)?

In triangulation, you find the distance between two stations by using a known baseline and the measured angles to the third point, applying the sine rule in the triangles that connect the stations. If you know the length of the baseline and the angles at the baseline endpoints to the target station Baltazar, you can solve for the unknown distance using AC = AB × sin(B) / sin(C) (where AB is the known baseline, and B and C are the appropriate opposite angles in the triangle). Replacing the measured angles with the problem’s values and performing the sine-rule calculation yields the distance from Balanacan to Baltazar as 37,680.90 meters. The other numbers would not satisfy the given angle measurements with the known baseline, so they don’t fit the data.

In triangulation, you find the distance between two stations by using a known baseline and the measured angles to the third point, applying the sine rule in the triangles that connect the stations. If you know the length of the baseline and the angles at the baseline endpoints to the target station Baltazar, you can solve for the unknown distance using AC = AB × sin(B) / sin(C) (where AB is the known baseline, and B and C are the appropriate opposite angles in the triangle). Replacing the measured angles with the problem’s values and performing the sine-rule calculation yields the distance from Balanacan to Baltazar as 37,680.90 meters. The other numbers would not satisfy the given angle measurements with the known baseline, so they don’t fit the data.

More practice questions