Surveying — Quiz 3

Questions in this quiz (10)

1. The PC (Point of Curvature) of a horizontal curve is located at station $$41{+}20.75$$. The curve length is $$365.40\ \mathrm{ft}$$. Determine the station of the PT (Point of Tangency).

   • $$44{+}86.15$$
   • $$42{+}85.75$$
   • $$45{+}20.75$$
   • $$43{+}86.15$$

2. A sag vertical curve has a PVI elevation of $$724.50\ \mathrm{ft}$$. The entering grade is $$-3.0\%$$ and the exiting grade is $$+2.0\%$$. The total curve length is $$600\ \mathrm{ft}$$. Determine the elevation of the PVC.

   • $$733.50\ \mathrm{ft}$$
   • $$715.50\ \mathrm{ft}$$
   • $$718.50\ \mathrm{ft}$$
   • $$721.50\ \mathrm{ft}$$

3. A traverse course has a bearing of $$N\ 52^\circ30^\prime\ E$$ and a distance of $$645.20\ \mathrm{ft}$$. Determine the departure of this course.

   • $$512.36\ \mathrm{ft}$$
   • $$489.75\ \mathrm{ft}$$
   • $$511.87\ \mathrm{ft}$$
   • $$521.48\ \mathrm{ft}$$

4. A crest vertical curve has an entering grade of $$+3.8\%$$ and an exiting grade of $$-2.2\%$$. The curve length is $$600\ \mathrm{ft}$$ (6 stations). Determine the rate of change of grade.

   • $$-1.00\%\!/\mathrm{station}$$
   • $$-0.90\%\!/\mathrm{station}$$
   • $$-0.75\%\!/\mathrm{station}$$
   • $$-1.20\%\!/\mathrm{station}$$

5. Determine the area of a circular sector with a radius of $$420\ \mathrm{ft}$$ and a central angle of $$64^\circ$$.

   • $$98520.35\ \mathrm{sq\ ft}$$
   • $$94500\ \mathrm{sq\ ft}$$
   • $$101240\ \mathrm{sq\ ft}$$
   • $$96850\ \mathrm{sq\ ft}$$

6. Reciprocal leveling is performed across a river between points A and B. From an instrument setup near A: BS on A = $$4.865\ \mathrm{ft}$$, FS on B = $$7.932\ \mathrm{ft}$$. From an instrument setup near B: BS on B = $$6.725\ \mathrm{ft}$$, FS on A = $$3.245\ \mathrm{ft}$$. The elevation of point A is $$512.35\ \mathrm{ft}$$. Determine the elevation of point B.

   • $$509.18\ \mathrm{ft}$$
   • $$509.94\ \mathrm{ft}$$
   • $$511.28\ \mathrm{ft}$$
   • $$509.08\ \mathrm{ft}$$

7. On a topographic map, two adjacent contour lines are separated by a horizontal distance of $$150\ \mathrm{ft}$$. If the contour interval is $$8\ \mathrm{ft}$$, determine the ground slope in percent.

   • $$5.33\%$$
   • $$4.75\%$$
   • $$6.25\%$$
   • $$3.80\%$$

8. A traverse course has an unadjusted latitude of $$-195.35\ \mathrm{ft}$$. The sum of absolute values of all latitudes in the traverse is $$2165.80\ \mathrm{ft}$$, and the total latitude misclosure is $$-0.42\ \mathrm{ft}$$. Using the transit rule, determine the correction to be applied to this course's latitude.

   • $$+0.038\ \mathrm{ft}$$
   • $$-0.038\ \mathrm{ft}$$
   • $$+0.028\ \mathrm{ft}$$
   • $$-0.028\ \mathrm{ft}$$

9. A horizontal curve has a degree of curve of $$5^\circ$$ (arc definition). Determine the deflection angle to stake a point $$40\ \mathrm{ft}$$ along the curve from the PC.

   • $$1^\circ00^\prime$$
   • $$2^\circ00^\prime$$
   • $$0^\circ50^\prime$$
   • $$1^\circ40^\prime$$

10. A horizontal curve has a radius of $$750\ \mathrm{ft}$$. Determine the length of the chord for a partial curve with a central angle of $$16^\circ40^\prime$$.

    • $$217.40\ \mathrm{ft}$$
    • $$214.32\ \mathrm{ft}$$
    • $$218.65\ \mathrm{ft}$$
    • $$221.10\ \mathrm{ft}$$