Surveying — Quiz 1

Questions in this quiz (10)

1. A surveyor measures a slope distance of $$312.40\ \mathrm{ft}$$ between two points using a total station. The zenith angle is $$78^\circ20^\prime$$. Determine the horizontal distance between the two points.

   • $$299.47\ \mathrm{ft}$$
   • $$305.95\ \mathrm{ft}$$
   • $$306.92\ \mathrm{ft}$$
   • $$310.15\ \mathrm{ft}$$

2. A traverse runs from point A to point B to point C. The azimuth of line AB is $$62^\circ15^\prime$$ and the azimuth of line BC is $$14^\circ30^\prime$$. Determine the deflection angle at point B.

   • $$59^\circ15^\prime$$
   • $$78^\circ45^\prime$$
   • $$47^\circ45^\prime$$
   • $$121^\circ15^\prime$$

3. A triangular parcel of land has vertices at the following coordinates: $$A(150,120)$$, $$B(350,120)$$, and $$C(260,310)$$. All coordinates are in feet. Using the coordinate method, determine the area of the parcel.

   • $$18{,}000\ \mathrm{sq\ ft}$$
   • $$19{,}000\ \mathrm{sq\ ft}$$
   • $$20{,}900\ \mathrm{sq\ ft}$$
   • $$17{,}500\ \mathrm{sq\ ft}$$

4. A roadway alignment has an elevation of $$628.40\ \mathrm{ft}$$ at station $$12{+}50$$ and an elevation of $$644.15\ \mathrm{ft}$$ at station $$16{+}25$$. Determine the percent grade of this section.

   • $$3.20\%$$
   • $$4.20\%$$
   • $$3.80\%$$
   • $$4.00\%$$

5. An earthwork calculation requires determining the volume between two cross-sections that are $$120\ \mathrm{ft}$$ apart. The cross-sectional areas are $$280\ \mathrm{sq\ ft}$$ and $$360\ \mathrm{sq\ ft}$$. Using the average end area method, determine the volume in cubic yards.

   • $$1{,}422.22\ \mathrm{cu\ yd}$$
   • $$2{,}844\ \mathrm{cu\ yd}$$
   • $$2{,}667\ \mathrm{cu\ yd}$$
   • $$1{,}600.00\ \mathrm{cu\ yd}$$

6. A four-sided closed traverse has the following adjusted latitudes and departures: Course 1: Lat = $$+120\ \mathrm{ft}$$, Dep = $$+180\ \mathrm{ft}$$; Course 2: Lat = $$-60\ \mathrm{ft}$$, Dep = $$+140\ \mathrm{ft}$$; Course 3: Lat = $$-120\ \mathrm{ft}$$, Dep = $$-180\ \mathrm{ft}$$; Course 4: Lat = $$+60\ \mathrm{ft}$$, Dep = $$-140\ \mathrm{ft}$$. Using the DMD method, determine the area enclosed by the traverse.

   • $$24{,}000\ \mathrm{sq\ ft}$$
   • $$27{,}600\ \mathrm{sq\ ft}$$
   • $$18{,}400\ \mathrm{sq\ ft}$$
   • $$22{,}800\ \mathrm{sq\ ft}$$

7. A closed traverse has a total length of $$3{,}120\ \mathrm{ft}$$. After balancing, the error of closure in latitude is $$0.20\ \mathrm{ft}$$ and the error of closure in departure is $$0.15\ \mathrm{ft}$$. Determine the precision ratio of the traverse.

   • $$1{:}11{,}200$$
   • $$1{:}12{,}480$$
   • $$1{:}13{,}750$$
   • $$1{:}10{,}950$$

8. A total station is set at a point with a known elevation of $$520.25\ \mathrm{ft}$$. The height of instrument is $$5.40\ \mathrm{ft}$$. A slope distance of $$920\ \mathrm{ft}$$ is measured to another point at a zenith angle of $$87^\circ10^\prime$$. The reflector height is $$5.75\ \mathrm{ft}$$. Determine the elevation of the second point.

   • $$565.38\ \mathrm{ft}$$
   • $$541.38\ \mathrm{ft}$$
   • $$538.14\ \mathrm{ft}$$
   • $$540.75\ \mathrm{ft}$$

9. A traverse course has a length of $$420\ \mathrm{ft}$$. The total traverse perimeter is $$3{,}200\ \mathrm{ft}$$, and the total misclosure in latitude is $$-0.22\ \mathrm{ft}$$. Using the compass rule, determine the latitude correction applied to this course.

   • $$-0.029\ \mathrm{ft}$$
   • $$+0.035\ \mathrm{ft}$$
   • $$+0.029\ \mathrm{ft}$$
   • $$-0.035\ \mathrm{ft}$$

10. A sag vertical curve connects a $$-2.8\%$$ grade to a $$+3.2\%$$ grade. The curve length is $$800\ \mathrm{ft}$$ and the PVC is located at station $$18{+}50$$. Determine the station of the low point of the curve.

    • $$21{+}10$$
    • $$22{+}23.33$$
    • $$20{+}50$$
    • $$21{+}30$$