PS Traverse & Leveling Calculations 4

Question 1

Point A has coordinates N 5,432.18, E 3,217.45 and Point B has coordinates N 4,891.32, E 3,648.72. What is the departure (ΔE) from A to B?

Accepted Answer

+431.27 ft

Answer

Departure ΔE = E_B − E_A = 3,648.72 − 3,217.45 = +431.27 ft (eastward).

Question 2

Using the same two points (A: N 5,432.18, E 3,217.45 and B: N 4,891.32, E 3,648.72), what is the horizontal distance AB?

Accepted Answer

692.0 ft

Answer

Distance = √(ΔN² + ΔE²) = √(540.86² + 431.27²) = √478,523 ≈ 692.0 ft.

Question 3

A course runs from point P (N 1,000.00, E 1,000.00) with a bearing of S 38°22' E and length 475.50 ft. What are the approximate coordinates of the endpoint?

Accepted Answer

N 627.2, E 1,295.1

Answer

Lat = −475.50 × cos(38°22') ≈ −372.8 ft; Dep = +475.50 × sin(38°22') ≈ +295.1 ft; endpoint ≈ N 627.2, E 1,295.1.

Question 4

The 'inverse' computation in coordinate geometry refers to:

Accepted Answer

Computing the bearing and horizontal distance between two points of known coordinates

Answer

Inverse computation solves for the direction (bearing) and distance between two coordinate pairs — the reverse of the forward (direct) problem.

Question 5

In a missing-line calculation, ΔN = −218.40 ft and ΔE = +163.70 ft. In which bearing quadrant does the line fall?

Accepted Answer

SE (S __° E)

Answer

Negative ΔN indicates a southward component; positive ΔE indicates an eastward component — the bearing is in the SE quadrant.

(PS) Professional Licensed Surveyor Practice Test

(PS) Professional Licensed Surveyor Practice Test

PS Traverse & Leveling Calculations 4