Afternoon Section — Full Practice Exam 2

Questions in this quiz (55)

1. An angle measures $$0.68$$ radians. Express this angle in degrees, minutes, and seconds.

   • $$38^\circ57^{\prime}40^{\prime\prime}$$
   • $$38^\circ40^{\prime}57^{\prime\prime}$$
   • $$39^\circ07^{\prime}40^{\prime\prime}$$
   • $$38^\circ57^{\prime}04^{\prime\prime}$$

2. A roadway is $$120\text{ m}$$ long. Cross-sectional earthwork areas are measured at stations $$0\text{ m}$$, $$60\text{ m}$$, and $$120\text{ m}$$. The corresponding areas are $$28\text{ m}^2$$, $$44\text{ m}^2$$, and $$36\text{ m}^2$$.Using the average end-area method, what is the total volume of earthwork required?

   • $$2,160\text{ m}^3$$
   • $$3,840\text{ m}^3$$
   • $$4,560\text{ m}^3$$
   • $$5,280\text{ m}^3$$

3. A surveying crew is determining the elevation of an unknown point $$C$$ using differential leveling. The elevation of benchmark $$A$$ is $$42.35\text{ m}$$. A backsight reading of $$1.84\text{ m}$$ is taken on benchmark $$A$$, and a foresight reading of $$0.76\text{ m}$$ is taken on point $$C$$.What is the elevation of point $$C$$?

   • $$40.27\text{ m}$$
   • $$41.27\text{ m}$$
   • $$43.43\text{ m}$$
   • $$44.95\text{ m}$$

4. In the figure, a triangle has side lengths $$480.00\text{ ft}$$, $$390.00\text{ ft}$$, and $$720.00\text{ ft}$$. What is the value of angle $$A$$ between the $$480.00$$ ft side and the $$720.00$$ ft side?

   • $$29^\circ15^{\prime}31^{\prime\prime}$$
   • $$30^\circ18^{\prime}47^{\prime\prime}$$
   • $$31^\circ26^{\prime}12^{\prime\prime}$$
   • $$39^\circ05^{\prime}38^{\prime\prime}$$

5. A traverse is run from Point $$B$$ to Point $$K$$. The measured courses are:The coordinates of Point $$B$$ are $$N=11,250.61\text{ ft}$$ and $$E=8,755.32\text{ ft}$$. The known coordinates of Point $$K$$ are $$N=11,511.15\text{ ft}$$ and $$E=10,507.23\text{ ft}$$.What is the error of closure in latitude?

   • $$0.08\text{ ft}$$
   • $$0.12\text{ ft}$$
   • $$0.26\text{ ft}$$
   • $$0.35\text{ ft}$$

6. In a State Plane Coordinate System, why is a map projection required when establishing horizontal survey coordinates?

   • To convert elevations from one vertical datum to another
   • To represent positions on the curved surface of the Earth on a flat coordinate grid
   • To correct measuring errors caused by instrument calibration
   • To convert bearing measurements from degrees to radians

7. A $$120$$-acre commercial development has a runoff coefficient of $$0.18$$. During the design storm, the rainfall intensity is $$2.0\text{ in/hr}$$. The peak runoff rate is most nearly:

   • $$21.6\text{ cfs}$$
   • $$32.4\text{ cfs}$$
   • $$43.2\text{ cfs}$$
   • $$54.0\text{ cfs}$$

8. A pump transfers water from a wet well having a water surface elevation of $$64\text{ ft}$$ to an elevated storage tank having a water surface elevation of $$103\text{ ft}$$. Both water surfaces are exposed to atmospheric pressure.The static head that must be overcome by the pump is most nearly:

   • $$25\text{ ft}$$
   • $$39\text{ ft}$$
   • $$64\text{ ft}$$
   • $$103\text{ ft}$$

9. A drainage basin has an area of $$653,400\text{ ft}^2$$. The design rainfall intensity is $$2.4\text{ in/hr}$$, and the composite runoff coefficient is $$0.18$$.The peak runoff rate from the basin is most nearly:

   • $$3.2\text{ cfs}$$
   • $$6.5\text{ cfs}$$
   • $$10.8\text{ cfs}$$
   • $$15.0\text{ cfs}$$

10. A rectangular concrete channel is $$3.0\text{ m}$$ wide and carries water at a normal depth of $$1.20\text{ m}$$. The channel slope is $$0.0010$$, and Manning's roughness coefficient is $$0.014$$.The critical depth is most nearly:

    • $$0.38\text{ m}$$
    • $$0.58\text{ m}$$
    • $$0.76\text{ m}$$
    • $$1.20\text{ m}$$

11. A municipal water main has a gauge pressure of $$90\text{ psi}$$ at ground level. A plumbing fixture is located $$55\text{ ft}$$ vertically above the water main. Neglecting friction losses, the pressure at the fixture is most nearly:

    • $$42\text{ psi}$$
    • $$54\text{ psi}$$
    • $$66\text{ psi}$$
    • $$90\text{ psi}$$

12. Water flows through a rough pipe with a Reynolds number of $$2\times10^7$$ and a relative roughness of $$0.003$$. The pressure drop is measured as $$1.6\text{ psi}$$.A second liquid having approximately the same density flows through the same pipe at the same velocity. Its kinematic viscosity is four times that of water.The pressure drop for the second liquid is most nearly:

    • $$0.4\text{ psi}$$
    • $$1.6\text{ psi}$$
    • $$3.2\text{ psi}$$
    • $$6.4\text{ psi}$$

13. Two open reservoirs are connected by $$6,000\text{ ft}$$ of $$18$$-in-diameter pipe. The Hazen-Williams coefficient is $$C=140$$. Water flows through the pipe at an average velocity of $$6.0\text{ ft/s}$$. Minor losses are negligible.The difference in water-surface elevations between the reservoirs is most nearly:

    • $$16\text{ ft}$$
    • $$33\text{ ft}$$
    • $$66\text{ ft}$$
    • $$102\text{ ft}$$

14. A roadway drains runoff from a strip of land extending $$90\text{ ft}$$ from the roadway on each side. The composite runoff coefficient is $$0.60$$, and the design rainfall intensity is $$5.5\text{ in/hr}$$.A curb inlet is provided on each side of the roadway, and each inlet can capture $$8.0\text{ cfs}$$. Assume each inlet receives runoff only from the $$90$$-ft-wide drainage strip on its side of the roadway.The maximum spacing between successive inlets is most nearly:

    • $$590\text{ ft}$$
    • $$890\text{ ft}$$
    • $$1,170\text{ ft}$$
    • $$2,350\text{ ft}$$

15. A municipal water treatment facility processes $$4.5\text{ MGD}$$. Three circular clarifiers operate in parallel. Each clarifier has a diameter of $$60\text{ ft}$$ and a water depth of $$10\text{ ft}$$. The hydraulic residence time in the clarifiers is most nearly:

    • $$1.69\text{ hr}$$
    • $$2.26\text{ hr}$$
    • $$3.38\text{ hr}$$
    • $$5.07\text{ hr}$$

16. A rapid sand filter at a drinking water treatment plant has a surface area of $$120\text{ ft}^2$$. During backwashing, water is applied at a rate of $$14\text{ gpm/ft}^2$$ for $$10$$ minutes.The quantity of water required for one backwash cycle is most nearly:

    • $$8,400\text{ gal}$$
    • $$12,000\text{ gal}$$
    • $$16,800\text{ gal}$$
    • $$28,800\text{ gal}$$

17. A wastewater sample has a $$5$$-day BOD of $$180\text{ mg/L}$$ at $$20^\circ\text{C}$$. The BOD reaction rate constant at $$20^\circ\text{C}$$ is $$0.22\text{ day}^{-1}$$.The ultimate BOD of the wastewater is most nearly:

    • $$180\text{ mg/L}$$
    • $$220\text{ mg/L}$$
    • $$270\text{ mg/L}$$
    • $$405\text{ mg/L}$$

18. A wastewater collection system experiences severe corrosion near the crown of several concrete sewer pipes. Anaerobic conditions have developed in the wastewater.Which substance is most directly associated with this type of sewer corrosion?

    • Dissolved oxygen
    • Hydrogen sulfide
    • Ammonia
    • Suspended solids

19. A pumping well penetrates an unconfined aquifer with a coefficient of permeability $$K=0.60\text{ m/day}$$. The water-table elevation above the impermeable layer is $$7\text{ m}$$ at a radial distance of $$0.08\text{ m}$$ from the well and $$11\text{ m}$$ at a radial distance of $$20\text{ m}$$ from the well.What is the discharge from the well most nearly?

    • $$12.3\text{ m}^3/\text{day}$$
    • $$18.7\text{ m}^3/\text{day}$$
    • $$24.6\text{ m}^3/\text{day}$$
    • $$39.2\text{ m}^3/\text{day}$$

20. A rectangular water-treatment basin is $$20\text{ ft}$$ wide, $$5\text{ ft}$$ deep, and $$80\text{ ft}$$ long and behaves as an ideal plug flow reactor. Water enters the basin at a flow rate of $$5\text{ ft}^3/\text{s}$$ with a contaminant concentration of $$180\text{ mg/L}$$. The contaminant undergoes first-order decay with a rate constant of $$0.75\text{ hr}^{-1}$$.The effluent concentration is most nearly:

    • $$62\text{ mg/L}$$
    • $$96\text{ mg/L}$$
    • $$129\text{ mg/L}$$
    • $$161\text{ mg/L}$$

21. A slender steel column is gradually subjected to an increasing concentric compressive load. The critical load of the column is best defined as:

    • The maximum tensile force the column can resist
    • The compressive force at which elastic buckling occurs
    • The load at which the material first reaches ultimate tensile strength
    • The maximum lateral force that can be applied to the column

22. A long steel column is $$3.0\text{ m}$$ in length and is pinned at both ends. The modulus of elasticity is $$200\text{ GPa}$$, and the minimum moment of inertia of the cross section is $$2.5\times10^{-6}\text{ m}^4$$.The Euler critical load is most nearly:

    • $$274\text{ kN}$$
    • $$548\text{ kN}$$
    • $$1,097\text{ kN}$$
    • $$1,645\text{ kN}$$

23. A rectangular concrete column has cross-sectional dimensions of $$150\text{ mm}$$ by $$200\text{ mm}$$. The column carries a concentric compressive load of $$360\text{ kN}$$.The average compressive stress in the column is most nearly:

    • $$6\text{ MPa}$$
    • $$12\text{ MPa}$$
    • $$24\text{ MPa}$$
    • $$36\text{ MPa}$$

24. A compact steel beam is subjected to flexure about its major axis. The beam has an unbraced length $$L_b$$, and $$L_p$$ is the limiting laterally unbraced length for development of the full plastic moment.Which condition ensures that lateral-torsional buckling does not reduce the beam's nominal flexural strength below its plastic moment?

    • $$L_b\le L_p$$
    • $$L_b>L_p$$
    • $$L_b=2L_p$$
    • The beam span must always equal $$L_p$$

25. Two columns have identical material properties, cross sections, and actual lengths, but one has pinned-pinned end conditions while the other has fixed-fixed end conditions.Why must their effective lengths be considered when evaluating buckling?

    • Effective length accounts for differences in material yield strength.
    • Effective length accounts for the effects of end restraint on buckling behavior.
    • Effective length corrects the cross-sectional area for Poisson's ratio.
    • Effective length is used only to calculate axial stress.

26. A slender column with pinned-pinned end conditions has an Euler critical load of $$P$$. The same column, with the same length, material, and cross section, is installed as a fixed-free cantilever column.The new Euler critical load is:

    • $$\frac{P}{4}$$
    • $$\frac{P}{2}$$
    • $$2P$$
    • $$4P$$

27. A reinforced concrete beam contains six No. 7 longitudinal reinforcing bars in the tension zone. What is the total cross-sectional area of the tension reinforcement?

    • $$2.40\text{ in}^2$$
    • $$3.10\text{ in}^2$$
    • $$3.60\text{ in}^2$$
    • $$4.20\text{ in}^2$$

28. A simply supported $$W24\times55$$ beam spans $$30\text{ ft}$$ and sustains a uniformly distributed dead load of $$0.08\text{ kip/ft}$$ and two $$20$$-kip live loads. The point loads act at the one-third points of the beam. The member is fully braced along its length. Use $$E=29,000\text{ ksi}$$.For the $$W24\times55$$ section, use: $$I_x=1,350\text{ in}^4$$The maximum beam deflection is most nearly:

    • $$0.883\text{ in}$$
    • $$1.220\text{ in}$$
    • $$1.730\text{ in}$$
    • $$2.000\text{ in}$$

29. A simply supported $$W24\times62$$ beam spans $$20\text{ ft}$$ and carries a uniformly distributed dead load of $$2.0\text{ kip/ft}$$ and a uniformly distributed live load of $$3.6\text{ kip/ft}$$. The steel has a yield strength of $$F_y=50\text{ ksi}$$.Determine how the member should be laterally braced to sustain this load.

    • At the mid-span
    • Every third point
    • Every quarter point
    • Every fifth point

30. A reinforced concrete beam has a width of $$12\text{ in}$$ and an effective tension-steel depth of $$d_t=21.5\text{ in}$$. The concrete compressive strength is $$f'_c=4\text{ ksi}$$, the reinforcing steel yield strength is $$f_y=60\text{ ksi}$$, and the beam contains four No. 10 tension bars with a total area of $$A_s=5.08\text{ in}^2$$. Closed tied stirrups are provided.What value of the strength reduction factor $$\phi$$ should be used when computing the design moment strength $$\phi M_n$$?

    • $$0.80$$
    • $$0.81$$
    • $$0.84$$
    • $$0.90$$

31. A reinforced concrete beam is subjected to a factored moment of $$M_u=648\text{ ft-kips}$$. The concrete compressive strength is $$f'_c=4,000\text{ psi}$$ and the reinforcing steel yield strength is $$f_y=60,000\text{ psi}$$. Assume $$\phi=0.90$$. The beam has an overall depth of $$30\text{ in}$$ and contains eight No. 8 tension bars arranged in two rows of four bars each. The lower row is located $$2.5\text{ in}$$ center-to-center above the bottom face, and the vertical center-to-center spacing between the two rows is $$2.0\text{ in}$$. What is the minimum overall beam width, to the nearest inch?

    • $$15\text{ in}$$
    • $$13\text{ in}$$
    • $$12\text{ in}$$
    • $$10\text{ in}$$

32. A cylindrical clay specimen with a diameter of $$3.0\text{ in}$$ is tested to evaluate its shear strength. The soil has an internal friction angle of $$20^\circ$$ and a cohesion of $$500\text{ psf}$$. At failure, the axial load on the specimen is $$236\text{ lb}$$.Using the Mohr-Coulomb shear strength relationship, the shear strength of the soil is most nearly:

    • $$9.84\text{ psi}$$
    • $$13.27\text{ psi}$$
    • $$15.62\text{ psi}$$
    • $$18.95\text{ psi}$$

33. A continuous strip footing is embedded $$2.0\text{ ft}$$ below grade and has a base width of $$4.0\text{ ft}$$. The supporting soil has a unit weight of $$110\text{ lb/ft}^3$$ and a cohesion of $$200\text{ lb/ft}^2$$. The groundwater table is sufficiently deep that it does not affect the bearing-capacity calculation. For the soil, use $$N_c=30.14$$, $$N_q=18.4$$, and $$N_\gamma=15.7$$. If a factor of safety of $$2.7$$ is required, the allowable bearing capacity is most nearly:

    • $$3.8\text{ kip/ft}^2$$
    • $$4.4\text{ kip/ft}^2$$
    • $$5.0\text{ kip/ft}^2$$
    • $$6.7\text{ kip/ft}^2$$

34. A saturated sand deposit extends from the ground surface to a depth of $$8\text{ ft}$$. The groundwater table is at the ground surface, and the saturated unit weight of the sand is $$153\text{ pcf}$$. What is the vertical effective stress at a depth of $$8\text{ ft}$$?

    • $$510\text{ psf}$$
    • $$640\text{ psf}$$
    • $$725\text{ psf}$$
    • $$1,224\text{ psf}$$

35. A $$13$$-ft-high retaining wall supports a level granular backfill having a unit weight of $$120\text{ pcf}$$ and an internal friction angle of approximately $$33^\circ$$. Neglect wall friction and cohesion. The resultant Rankine active earth force acting per foot of wall length is most nearly:

    • $$1,850\text{ lb/ft}$$
    • $$3,000\text{ lb/ft}$$
    • $$4,420\text{ lb/ft}$$
    • $$6,000\text{ lb/ft}$$

36. A $$20$$-ft-thick clay stratum is located between two highly permeable sand layers, allowing drainage from both the top and bottom. The coefficient of consolidation is $$0.105\text{ ft}^2/\text{day}$$. For $$50\%$$ average consolidation, use a time factor of $$0.197$$. The time required to reach $$50\%$$ consolidation is most nearly:

    • $$74\text{ days}$$
    • $$126\text{ days}$$
    • $$188\text{ days}$$
    • $$376\text{ days}$$

37. A soil specimen has a moisture content of $$10.2\%$$, a specific gravity of solids of $$2.65$$, and a void ratio of $$0.60$$. What is the degree of saturation of the soil?

    • $$31\%$$
    • $$39\%$$
    • $$45\%$$
    • $$58\%$$

38. A highway embankment is planned over a site consisting of a $$12$$-ft-thick compacted fill layer underlain by an $$8$$-ft-thick normally consolidated clay deposit. The average increase in vertical stress at the midpoint of the clay layer due to the new embankment is estimated to be $$110\text{ psf}$$.Laboratory testing provides the following soil properties:Fill LayerThickness = $$12\text{ ft}$$Unit weight = $$118\text{ lb/ft}^3$$Normally Consolidated ClayThickness = $$8\text{ ft}$$Unit weight = $$117\text{ lb/ft}^3$$Compression index, $$C_c=0.241$$Initial void ratio, $$e_0=0.90$$What is the primary consolidation settlement of the clay layer most nearly?

    • $$0.3\text{ in}$$
    • $$0.6\text{ in}$$
    • $$0.9\text{ in}$$
    • $$1.4\text{ in}$$

39. A grain-size distribution curve for a soil sample indicates the following particle sizes.The coefficient of uniformity, $$C_u$$, of the soil is most nearly:

    • $$1.8$$
    • $$2.3$$
    • $$2.6$$
    • $$3.4$$

40. A $$4.0$$-m-high retaining wall supports a level granular backfill. The soil has an internal friction angle of $$42.5^\circ$$ and a unit weight of $$18.0\text{ kN/m}^3$$. Wall friction may be neglected. A horizontal stabilizing force is applied to the wall at a point $$2.5\text{ m}$$ above the base.Using Rankine active earth pressure theory, the minimum horizontal force per unit length of wall required to prevent overturning is most nearly:

    • $$15\text{ kN/m}$$
    • $$19\text{ kN/m}$$
    • $$27\text{ kN/m}$$
    • $$36\text{ kN/m}$$

41. A transportation engineer models traffic on an urban freeway using the speed-density relationship:$$v=75-0.3125k$$where $$v$$ is the mean traffic speed in mi/hr and $$k$$ is the traffic density in veh/mi.Using the relationship $$q=kv$$, the maximum traffic-flow capacity of the roadway is most nearly:

    • $$3,600\text{ veh/hr}$$
    • $$4,100\text{ veh/hr}$$
    • $$4,500\text{ veh/hr}$$
    • $$5,200\text{ veh/hr}$$

42. At an intersection where traffic on the minor roadway is controlled by a STOP sign and traffic on the major roadway proceeds without stopping, the required sight distance for a driver entering or crossing the major roadway is primarily based on:

    • Passing sight distance
    • Minimum stopping distance
    • Departure sight distance
    • Headlight sight distance

43. A symmetrical sag vertical curve is $$6$$ stations long. The roadway grade at the PVC is $$-1.5\%$$, and the grade at the EVC is $$+2.5\%$$. The PVI is located at station $$52+00$$.At what station is the low point of the vertical curve located?

    • Sta 49+00
    • Sta 50+50
    • Sta 51+25
    • Sta 52+00

44. While traveling along a rural roadway, a driver encounters an unexpected obstruction and must bring the vehicle to a complete stop. The vehicle is moving at $$45\text{ mph}$$ on a $$6\%$$ downgrade. Assume a perception-reaction time of $$2.0$$ sec and a coefficient of longitudinal friction of $$0.60$$ between the tires and pavement.Approximately how much roadway distance is required from the moment the driver detects the obstruction until the vehicle stops?

    • $$218\text{ ft}$$
    • $$241\text{ ft}$$
    • $$257\text{ ft}$$
    • $$284\text{ ft}$$

45. A roadway engineer is comparing pavement alternatives for the same traffic demand and subgrade conditions. Which pavement system would generally require the least overall pavement thickness to provide the necessary structural capacity?

    • Full-depth hot-mix asphalt pavement
    • Portland cement concrete pavement
    • Hot-mix asphalt over a granular base
    • Asphalt pavement with a stabilized base

46. At a signalized intersection, the initial "WALK" indication is displayed for $$7.0$$ sec, after which the "DON'T WALK" indication begins. The pedestrian walking speed is $$4\text{ ft/sec}$$, and the crossing distance is $$48\text{ ft}$$. The vehicle yellow interval is $$4.0$$ sec, followed by a $$1.0$$-sec all-red interval, during which pedestrians are not permitted to remain in the crosswalk.What is the minimum length of time that the green indication must be displayed?

    • $$11.0\text{ sec}$$
    • $$12.0\text{ sec}$$
    • $$14.0\text{ sec}$$
    • $$15.0\text{ sec}$$

47. A transportation agency plans to introduce two independent safety improvements along a high-crash roadway segment. The crash reduction factors for the improvements are $$0.30$$ and $$0.20$$, and their effects are treated independently. The roadway currently experiences an average of $$12$$ crashes per year, and traffic volume is expected to remain unchanged.After both improvements are implemented, approximately how many crashes per year should be expected?

    • $$5.3$$
    • $$6.7$$
    • $$7.8$$
    • $$8.4$$

48. A roadway centerline includes a simple circular horizontal curve with a radius of $$750\text{ ft}$$ and an intersection angle of $$36^\circ20^{\prime}$$. The point of intersection, PI, is located at station $$45+00$$.What is the station of the point of tangency, PT?

    • Sta 46+83.40
    • Sta 47+12.65
    • Sta 47+29.50
    • Sta 47+46.10

49. A roadway profile transitions from a $$2.5\%$$ descending grade to a $$2.0\%$$ ascending grade using a sag vertical curve. If the required headlight sight distance is $$650$$ ft, approximately what minimum vertical-curve length is needed?

    • $$585\text{ ft}$$
    • $$650\text{ ft}$$
    • $$712\text{ ft}$$
    • $$845\text{ ft}$$

50. A wheel loader is used to fill a fleet of haul trucks. Each loader bucket carries $$2.5\text{ yd}^3$$, and one complete loading cycle requires $$0.75$$ min. Each truck can hold $$12.5\text{ yd}^3$$. Five trucks are assigned to the operation, and the travel portion of each truck cycle takes approximately $$14$$ min. Assuming the truck fleet is sufficient to keep the loader operating continuously, what is the ideal production rate of the loading operation?

    • $$150\text{ yd}^3/\text{hr}$$
    • $$180\text{ yd}^3/\text{hr}$$
    • $$200\text{ yd}^3/\text{hr}$$
    • $$250\text{ yd}^3/\text{hr}$$

51. A contractor is comparing four excavators. Rental cost is assumed to increase directly with bucket capacity. Excavator production is estimated as the number of cycles completed per hour multiplied by the bucket payload. Based on these assumptions, which excavator provides the greatest production relative to rental cost?

    • Excavator 1
    • Excavator 2
    • Excavator 3
    • Excavator 4

52. A compacted roadway fill will require $$250,000\text{ yd}^3$$ of material. At the borrow source, the soil has a moist unit weight of $$112$$ pcf and a moisture content of $$14\%$$. After compaction in the fill, the soil will have a moist unit weight of $$125$$ pcf and a moisture content of $$10\%$$. Approximately how much borrow volume is required?

    • $$247,500\text{ yd}^3$$
    • $$268,900\text{ yd}^3$$
    • $$289,200\text{ yd}^3$$
    • $$318,600\text{ yd}^3$$

53. Excavation cross-sectional areas were determined at three equally spaced roadway stations as shown below.Using the prismoidal formula, approximately how much material must be excavated between stations 12+40 and 13+80?

    • $$1,540\text{ yd}^3$$
    • $$1,730\text{ yd}^3$$
    • $$1,867\text{ yd}^3$$
    • $$2,080\text{ yd}^3$$

54. A contractor is preparing the schedule for a municipal utility improvement project. The project consists of activities A through H, with the duration of each activity shown below. The precedence relationships are also provided.Activities F, G, and H must be completed before the project can finish. Which sequence represents the critical path?

    • Start–A–F–End
    • Start–B–E–H–End
    • Start–B–D–F–End
    • Start–B–G–End

55. The two tangents from point PI meet a simple circular curve at points PC and PT. The radius of the circular curve is $$600\text{ ft}$$, and the angle between the tangents at PI is $$42^\circ18^{\prime}$$. What is the area of the shaded region bounded by the two tangents and the arc from PC to PT?

    • $$311,455\text{ ft}^2$$
    • $$432,597\text{ ft}^2$$
    • $$497,946\text{ ft}^2$$
    • $$809,401\text{ ft}^2$$