FREE LSIT Mathematics and Geomatics Questions and Answers
What is the primary purpose of using trigonometry in land surveying?
Trigonometry is used in land surveying to calculate distances and angles between points based on measurements and angles taken in the field. For example, the tangent, sine, and cosine functions help in determining unknown distances or angles when the surveyor has partial measurements.
In surveying, what does the term "error of closure" refer to?
The "error of closure" refers to the discrepancy that occurs when comparing the starting and ending points in a closed traverse survey. This error indicates the accuracy of the measurements taken and helps to identify any discrepancies that need to be corrected for precise survey results.
Which of the following is a common method for converting between different coordinate systems?
Converting between different coordinate systems often requires applying specific transformation equations and parameters to account for differences in projection, datum, and scale. This ensures that coordinates are accurately converted from one system to another.
How is the "State Plane Coordinate System" used in land surveying?
The State Plane Coordinate System (SPCS) is used to provide a local coordinate system that is specific to a region or state. It is designed to reduce distortion in mapping and surveying by using projections that fit the local area, making it easier to work with accurate coordinates.
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?
To determine the new coordinates (X2, Y2), you use trigonometric functions where X2 is calculated using the cosine of the angle and Y2 is calculated using the sine of the angle. For a distance of 100 meters and an angle of 30 degrees, this translates to X2 = X1 + 100 * cos(30°) and Y2 = Y1 + 100 * sin(30°).