FUNDAMENTAL SURVEYING Mathematics and Statistics 3

Question 1

What is the azimuth of a line with a bearing of S 60° W?

Accepted Answer

240°

Answer

S 60° W converts to an azimuth of 180° + 60° = 240°.

Question 2

The latitude (ΔN) of a line 300 ft long with bearing N 40° E is approximately:

Accepted Answer

229.8 ft

Answer

Latitude = L × cos(bearing angle) = 300 × cos(40°) ≈ 229.8 ft.

Question 3

Which of the following is NOT a systematic error in surveying?

Accepted Answer

A random blunder in reading a rod

Answer

A random blunder is a mistake (gross error), not a systematic error that repeats consistently.

Question 4

What is the weighted mean of two measurements 10.50 (weight 1) and 10.60 (weight 3)?

Accepted Answer

10.575

Answer

Weighted mean = (10.50×1 + 10.60×3) / (1+3) = 42.30 / 4 = 10.575.

Question 5

A closed traverse has a total latitude error of +0.30 ft and total departure error of +0.40 ft. What is the linear closure?

Accepted Answer

0.50 ft

Answer

Linear closure = √(0.30² + 0.40²) = √(0.09 + 0.16) = √0.25 = 0.50 ft.

FUNDAMENTAL SURVEYING Practice Test