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Survey Calculations & Coordinate Systems Flashcards

7 cards from real CST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A traverse course has a bearing of N 30°00' E and a length of 200.00 ft. What is its latitude?

    Answer: +173.21 ft

    Latitude = distance × cos(bearing) = 200 × cos 30° = 173.21 ft, positive because it runs north.

  2. What is the departure of a course bearing S 45°00' W with a length of 100.00 ft?

    Answer: -70.71 ft

    Departure = 100 × sin 45° = 70.71 ft, negative because the course runs west.

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

    Answer: 0.50 ft

    Linear error = √(0.30² + 0.40²) = 0.50 ft.

  4. A traverse with a perimeter of 5,000 ft has a linear error of closure of 0.50 ft. What is its relative precision?

    Answer: 1:10,000

    Relative precision = 0.50 / 5,000 = 1/10,000.

  5. Under the compass (Bowditch) rule, how is the latitude correction for each course found?

    Answer: In proportion to the course length divided by the total perimeter

    The compass rule spreads the misclosure in proportion to each course's length relative to the total traverse length.

  6. What should the interior angles of a closed six-sided traverse add up to?

    Answer: 720°

    Sum of interior angles = (n − 2) × 180° = 4 × 180° = 720°.

  7. Which bearing matches an azimuth of 225° (measured from north)?

    Answer: S 45° W

    225° lies in the southwest quadrant, and 225° − 180° = 45°, so the bearing is S 45° W.