Surveying — Quiz 5

Questions in this quiz (10)

1. Which of the following statements is incorrect?

   • $$\text{A level surface is perpendicular to gravity at all points.}$$
   • $$\text{A plumb line indicates the direction of gravity.}$$
   • $$\text{A level line is curved and follows the earth's surface.}$$
   • $$\text{A horizontal line is parallel to a level line at all points.}$$

2. A closed traverse has five segments and three interior angles measure $$120^\circ$$ each. The sum of the remaining interior angles is most nearly:

   • $$180^\circ$$
   • $$240^\circ$$
   • $$300^\circ$$
   • $$360^\circ$$

3. Which statement is the most incorrect about highway curves?

   • $$\text{Horizontal curves are circular arcs.}$$
   • $$\text{Vertical curves are parabolic.}$$
   • $$\text{Superelevation is used on horizontal curves.}$$
   • $$\text{Horizontal curves must maintain constant grade.}$$

4. The degree of curve for a $$750\ \mathrm{ft}$$ radius is nearly:

   • $$7.64^\circ$$
   • $$6.28^\circ$$
   • $$5.73^\circ$$
   • $$4.58^\circ$$

5. An $$8^\circ$$ horizontal curve has a deflection angle of $$24^\circ$$. Its PC station is located at $$15{+}40.00$$. The curve's PT station is most nearly:

   • $$18{+}40.00$$
   • $$20{+}40.00$$
   • $$17{+}90.00$$
   • $$16{+}40.00$$

6. For a horizontal curve of radius $$300\ \mathrm{ft}$$ and intersection angle $$52^\circ$$, the curve length in feet is most nearly:

   • $$272\ \mathrm{ft}$$
   • $$314\ \mathrm{ft}$$
   • $$350\ \mathrm{ft}$$
   • $$408\ \mathrm{ft}$$

7. A horizontal curve has a radius of $$300\ \mathrm{ft}$$. If its intersection angle is $$52^\circ$$, its long chord length in feet is most nearly:

   • $$262.5\ \mathrm{ft}$$
   • $$248.3\ \mathrm{ft}$$
   • $$272.8\ \mathrm{ft}$$
   • $$290.6\ \mathrm{ft}$$

8. A horizontal curve has an external distance of $$32.4\ \mathrm{ft}$$ and an intersection angle of $$36^\circ$$. Using the relationship $$M=E\times\cos\left(\frac{I}{2}\right)$$, determine the middle ordinate.

   • $$30.81\ \mathrm{ft}$$
   • $$31.66\ \mathrm{ft}$$
   • $$29.55\ \mathrm{ft}$$
   • $$32.40\ \mathrm{ft}$$

9. An obstacle prevents direct measurement between points A and B. An auxiliary point C is established such that angle $$CAB=90^\circ$$ and angle $$ACB=28^\circ30^\prime$$. The distance $$AC$$ is measured as $$210.75\ \mathrm{ft}$$. Determine the distance $$AB$$.

   • $$114.43\ \mathrm{ft}$$
   • $$101.42\ \mathrm{ft}$$
   • $$184.90\ \mathrm{ft}$$
   • $$99.64\ \mathrm{ft}$$

10. A traverse course begins at a point with coordinates $$\left(E:8500.00,\ N:12200.00\right)$$. The course has a bearing of $$S\ 48^\circ15^\prime\ E$$ and a distance of $$540.35\ \mathrm{ft}$$. Determine the coordinates of the endpoint.

    • $$\left(8903.13,\ 11840.19\right)$$
    • $$\left(8902.45,\ 11837.62\right)$$
    • $$\left(9102.38,\ 11597.55\right)$$
    • $$\left(9057.38,\ 11897.62\right)$$