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Nevada Land Surveyor-in-Training Certification ACTUAL
EXAM QUESTIONS AND CORRECT DETAILED ANSWERS
LATEST UPDATE THIS YEAR
200 MCQs WITH RATIONALES – NEVADA LSIT (FS EXAM PREPARATION)
Section 1: Mathematics (Q 1-20)
1. (Coverage: Trigonometry for surveying calculations)
In a right triangle, if the angle at vertex A is 35° and the adjacent side is 120.00 ft, what is the
length of the opposite side?
a) 84.02 ft
b) 98.30 ft
c) 84.02 ft
d) 171.42 ft
Correct Answer: a) 84.02 ft
Rationale: Use tangent function: tan(angle) = opposite/adjacent. Opposite = adjacent × tan(35°)
= 120.00 × 0.7002 = 84.02 ft.
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2. (Coverage: Coordinate geometry for traverse points)
Point A has coordinates (1000.00, 1000.00). The bearing from A to B is N 45° E and the distance
is 141.42 ft. What are the coordinates of B?
a) (1100.00, 1100.00)
b) (1100.00, 900.00)
c) (900.00, 1100.00)
d) (1000.00, 1141.42)
Correct Answer: a) (1100.00, 1100.00)
Rationale: Latitude = 141.42 × cos(45°) = 100.00. Departure = 141.42 × sin(45°) = 100.00. B =
(1000+100, 1000+100) = (1100, 1100).
3. (Coverage: Area calculation using coordinates)
Using the coordinate method, compute the area of a triangle with vertices at (0,0), (100,0), and
(50, 86.60).
a) 4,330 sq ft
b) 5,000 sq ft
c) 8,660 sq ft
d) 10,000 sq ft
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Correct Answer: a) 4,330 sq ft
Rationale: Area = ½ × base × height = ½ × 100 × 86.60 = 4,330 sq ft.
4. (Coverage: Error propagation in measurements)
A distance is measured as 500.00 ft ± 0.05 ft. What is the relative precision?
a) 1/10,000
b) 1/5,000
c) 1/2,500
d) 1/1,000
Correct Answer: a) 1/10,000
Rationale: Relative precision = error / measured distance = 0..00 = 0.0001 = 1/10,000.
5. (Coverage: Law of sines for non-right triangles)
In triangle ABC, angle A = 30°, angle B = 70°, and side a (opposite A) = 100 ft. What is side b
(opposite B)?
a) 100.0 ft
b) 188.0 ft
c) 200.0 ft
d) 250.0 ft
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Correct Answer: b) 188.0 ft
Rationale: Law of sines: a/sin A = b/sin B → 100/sin30° = b/sin70° → b = (100 × sin70°)/0.5 =
(100 × 0.9397)/0.5 = 187.94 ft.
6. (Coverage: Basic statistics for survey data)
A set of angle measurements has a mean of 45°00'00" and a standard deviation of 3". What is
the standard error of the mean for 4 measurements?
a) 0.75"
b) 1.50"
c) 3.00"
d) 6.00"
Correct Answer: b) 1.50"
Rationale: Standard error of mean = standard deviation / √n = 3" / √4 = 3" / 2 = 1.5".
7. (Coverage: Curve geometry formulas)
A circular curve has a radius of 1000 ft and a central angle of 30°. What is the length of the
curve?
a) 261.80 ft
b) 523.60 ft
Nevada Land Surveyor-in-Training Certification ACTUAL
EXAM QUESTIONS AND CORRECT DETAILED ANSWERS
LATEST UPDATE THIS YEAR
200 MCQs WITH RATIONALES – NEVADA LSIT (FS EXAM PREPARATION)
Section 1: Mathematics (Q 1-20)
1. (Coverage: Trigonometry for surveying calculations)
In a right triangle, if the angle at vertex A is 35° and the adjacent side is 120.00 ft, what is the
length of the opposite side?
a) 84.02 ft
b) 98.30 ft
c) 84.02 ft
d) 171.42 ft
Correct Answer: a) 84.02 ft
Rationale: Use tangent function: tan(angle) = opposite/adjacent. Opposite = adjacent × tan(35°)
= 120.00 × 0.7002 = 84.02 ft.
, Page 2 of 102
2. (Coverage: Coordinate geometry for traverse points)
Point A has coordinates (1000.00, 1000.00). The bearing from A to B is N 45° E and the distance
is 141.42 ft. What are the coordinates of B?
a) (1100.00, 1100.00)
b) (1100.00, 900.00)
c) (900.00, 1100.00)
d) (1000.00, 1141.42)
Correct Answer: a) (1100.00, 1100.00)
Rationale: Latitude = 141.42 × cos(45°) = 100.00. Departure = 141.42 × sin(45°) = 100.00. B =
(1000+100, 1000+100) = (1100, 1100).
3. (Coverage: Area calculation using coordinates)
Using the coordinate method, compute the area of a triangle with vertices at (0,0), (100,0), and
(50, 86.60).
a) 4,330 sq ft
b) 5,000 sq ft
c) 8,660 sq ft
d) 10,000 sq ft
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Correct Answer: a) 4,330 sq ft
Rationale: Area = ½ × base × height = ½ × 100 × 86.60 = 4,330 sq ft.
4. (Coverage: Error propagation in measurements)
A distance is measured as 500.00 ft ± 0.05 ft. What is the relative precision?
a) 1/10,000
b) 1/5,000
c) 1/2,500
d) 1/1,000
Correct Answer: a) 1/10,000
Rationale: Relative precision = error / measured distance = 0..00 = 0.0001 = 1/10,000.
5. (Coverage: Law of sines for non-right triangles)
In triangle ABC, angle A = 30°, angle B = 70°, and side a (opposite A) = 100 ft. What is side b
(opposite B)?
a) 100.0 ft
b) 188.0 ft
c) 200.0 ft
d) 250.0 ft
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Correct Answer: b) 188.0 ft
Rationale: Law of sines: a/sin A = b/sin B → 100/sin30° = b/sin70° → b = (100 × sin70°)/0.5 =
(100 × 0.9397)/0.5 = 187.94 ft.
6. (Coverage: Basic statistics for survey data)
A set of angle measurements has a mean of 45°00'00" and a standard deviation of 3". What is
the standard error of the mean for 4 measurements?
a) 0.75"
b) 1.50"
c) 3.00"
d) 6.00"
Correct Answer: b) 1.50"
Rationale: Standard error of mean = standard deviation / √n = 3" / √4 = 3" / 2 = 1.5".
7. (Coverage: Curve geometry formulas)
A circular curve has a radius of 1000 ft and a central angle of 30°. What is the length of the
curve?
a) 261.80 ft
b) 523.60 ft
