LSIT Mathematics and Geomatics 3

Question 1

A horizontal curve has a radius of 1,200 ft and a central angle (Δ) of 24°30'. The tangent length T equals:

Accepted Answer

261.5 ft

Answer

T = R × tan(Δ/2) = 1200 × tan(12°15') = 1200 × 0.2174 ≈ 261.5 ft.

Question 2

The relationship between geodetic height (h), orthometric height (H), and geoid undulation (N) is:

Accepted Answer

h = H + N

Answer

Geodetic (ellipsoidal) height h equals orthometric height H plus geoid undulation N: h = H + N.

Question 3

A closed traverse has 5 sides. The sum of interior angles should equal:

Accepted Answer

540°

Answer

Sum of interior angles = (n - 2) × 180° = (5 - 2) × 180° = 540°.

Question 4

In coordinate geometry (COGO), the inverse computation determines:

Accepted Answer

Distance and bearing between two known coordinate pairs

Answer

The inverse problem computes direction (bearing/azimuth) and distance from the coordinates of two known points.

Question 5

The scale factor in a State Plane Coordinate System (SPCS) is applied to account for:

Accepted Answer

The difference between grid distances on the projection plane and geodetic distances on the ellipsoid

Answer

The grid scale factor converts ellipsoidal geodetic distances to grid (plane) distances used in SPCS computations.

(LSIT) Land Surveyor in Training Practice Test