LSIT Mathematics and Geomatics

Question 1

What is the primary purpose of using trigonometry in land surveying?

Accepted Answer

To determine distances and angles between points

Answer

To calculate the cost of construction materials

Answer

To measure soil composition

Answer

To analyze the weather conditions

Question 2

How is the "State Plane Coordinate System" used in land surveying?

Accepted Answer

To provide a local coordinate system for accurate mapping and surveying

Answer

To determine the elevation of a land parcel

Answer

To calculate the volume of materials for construction

Answer

To measure horizontal angles between survey points

Question 3

If a surveyor has a known coordinate point (X1, Y1) and measures an angle of 30 degrees and a distance of 100 meters from this point, what is the coordinate of the new point (X2, Y2) assuming no elevation change?

Accepted Answer

X2 = X1 + 100 * cos(30°), Y2 = Y1 + 100 * sin(30°)

Answer

X2 = X1 + 100 * tan(30°), Y2 = Y1 + 100 * cos(30°)

Answer

X2 = X1 - 100 * cos(30°), Y2 = Y1 - 100 * sin(30°)

Answer

X2 = X1 + 100 * sin(30°), Y2 = Y1 + 100 * cos(30°)

Question 4

Which of the following is a common method for converting between different coordinate systems?

Accepted Answer

Applying transformation equations and parameters

Answer

Using a clinometer

Answer

Measuring angles with a theodolite

Answer

Using a GPS receiver

Question 5

In surveying, what does the term "error of closure" refer to?

Accepted Answer

The discrepancy between the starting and ending point in a closed traverse survey

Answer

The difference between the measured and actual elevation of a point

Answer

The error in the measurement of angles due to instrument calibration

Answer

The difference between the recorded and actual coordinates of a survey point