Surveying — Quiz 2

Questions in this quiz (10)

1. A tract of land has one irregular boundary. Perpendicular offsets from a straight baseline are measured at $$25$$-ft intervals as $$0,18,32,40,28,16,\text{ and }0$$ ft. Using Simpson's one-third rule, determine the area between the baseline and the irregular boundary.

   • $$3250\ \mathrm{sq\ ft}$$
   • $$3333\ \mathrm{sq\ ft}$$
   • $$3466.67\ \mathrm{sq\ ft}$$
   • $$3500\ \mathrm{sq\ ft}$$

2. Two survey monuments have the following State Plane Coordinates: Point A $$\left(N:3120.00\ \mathrm{ft},\ E:1480.00\ \mathrm{ft}\right)$$ and Point B $$\left(N:3680.00\ \mathrm{ft},\ E:1920.00\ \mathrm{ft}\right)$$. Determine the horizontal distance between the two points.

   • $$712.18\ \mathrm{ft}$$
   • $$690.25\ \mathrm{ft}$$
   • $$680.00\ \mathrm{ft}$$
   • $$725.00\ \mathrm{ft}$$

3. Using the same coordinates from the previous problem, determine the azimuth from point A to point B.

   • $$38^\circ10^\prime$$
   • $$52^\circ15^\prime$$
   • $$45^\circ00^\prime$$
   • $$60^\circ25^\prime$$

4. At a roadway cross-section, the existing ground elevation is $$512.40\ \mathrm{ft}$$ and the design subgrade elevation is $$509.90\ \mathrm{ft}$$. The cross-section has a level bottom width of $$36\ \mathrm{ft}$$. Determine the cross-sectional area of earthwork and identify whether it is cut or fill.

   • $$90.0\ \mathrm{sq\ ft,\ cut}$$
   • $$90.0\ \mathrm{sq\ ft,\ fill}$$
   • $$72.0\ \mathrm{sq\ ft,\ cut}$$
   • $$72.0\ \mathrm{sq\ ft,\ fill}$$

5. A horizontal curve has a radius of $$950\ \mathrm{ft}$$ and an intersection angle of $$36^\circ20^\prime$$. Determine the external distance of the curve.

   • $$45.28\ \mathrm{ft}$$
   • $$49.84\ \mathrm{ft}$$
   • $$52.36\ \mathrm{ft}$$
   • $$41.75\ \mathrm{ft}$$

6. Using the same curve parameters $$\left(R=950\ \mathrm{ft},\ I=36^\circ20^\prime\right)$$, determine the middle ordinate of the curve.

   • $$35.20\ \mathrm{ft}$$
   • $$38.90\ \mathrm{ft}$$
   • $$47.35\ \mathrm{ft}$$
   • $$44.70\ \mathrm{ft}$$

7. Using the same curve parameters $$\left(R=950\ \mathrm{ft},\ I=36^\circ20^\prime\right)$$, determine the length of the long chord.

   • $$592.39\ \mathrm{ft}$$
   • $$600.75\ \mathrm{ft}$$
   • $$620.40\ \mathrm{ft}$$
   • $$540.35\ \mathrm{ft}$$

8. A differential leveling survey is conducted from benchmark A with elevation $$345.60\ \mathrm{ft}$$ to benchmark B. The field notes show: Setup 1: $$BS=6.75\ \mathrm{ft}$$, $$FS=2.80\ \mathrm{ft}$$; Setup 2: $$BS=5.40\ \mathrm{ft}$$, $$FS=3.95\ \mathrm{ft}$$; Setup 3: $$BS=4.85\ \mathrm{ft}$$, $$FS=1.90\ \mathrm{ft}$$. Determine the elevation of benchmark B.

   • $$353.95\ \mathrm{ft}$$
   • $$354.95\ \mathrm{ft}$$
   • $$352.80\ \mathrm{ft}$$
   • $$355.60\ \mathrm{ft}$$

9. A horizontal curve has a radius of $$955.37\ \mathrm{ft}$$. Using the arc definition, determine the degree of curve.

   • $$6.00^\circ$$
   • $$3.75^\circ$$
   • $$4.50^\circ$$
   • $$5.25^\circ$$

10. A highway curve is designed with a degree of curve of $$3^\circ45^\prime$$ using the arc definition. Determine the radius of the curve.

    • $$1527.89\ \mathrm{ft}$$
    • $$1910.00\ \mathrm{ft}$$
    • $$1412.40\ \mathrm{ft}$$
    • $$1624.85\ \mathrm{ft}$$