LSIT Mathematics and Geomatics 4

Question 1

The Combined Scale Factor (CSF) used to convert ground distances to grid distances is computed as:

Accepted Answer

Grid Scale Factor × Elevation Factor

Answer

CSF = Grid Scale Factor × Elevation Factor; it converts ground (surface) distances directly to grid distances.

Question 2

A random error in surveying measurements is best characterized as:

Accepted Answer

Unpredictable in sign and magnitude, following a normal distribution

Answer

Random errors are accidental, vary in sign and size, and follow a normal (Gaussian) distribution — they are minimized by redundant observations.

Question 3

In the method of least squares adjustment, the condition minimized is:

Accepted Answer

The sum of the squares of the residuals (v'Pv)

Answer

Least squares minimizes Σ(p·v²), the weighted sum of squared residuals, to produce the most probable solution.

Question 4

The vanishing bearing in a closed traverse survey occurs when the latitude or departure of a course equals zero. If a course has a bearing of N 90°00' E, its latitude is:

Accepted Answer

0.00 ft

Answer

Latitude = L × cos(bearing); cos(90°) = 0, so the latitude of a due-east course is zero.

Question 5

A digital elevation model (DEM) is most commonly used in GIS-based surveying to:

Accepted Answer

Represent the bare-earth terrain surface for topographic analysis

Answer

A DEM represents the bare-earth surface as a raster grid of elevation values, enabling slope, aspect, watershed, and visibility analyses.

(LSIT) Land Surveyor in Training Practice Test

(LSIT) Land Surveyor in Training Practice Test

LSIT Mathematics and Geomatics 4