Deck 6: Math Science

Question 1

When used in measuring linear distance, the term "station" refers to a point on a line:

A)That was established by continuous chaining from a beginning point.
B)That is a multiple of a full tape length established by continuous chaining from a beginning point.
C)Where a moving vehicle may stop for fuel or to drop off goods or passengers.
D)Where an EDM reading was taken.

Answer 1

That was established by continuous chaining from a beginning point.

Question 2

Examples of common systematic errors encountered when measuring horizontal distances include:

A)Changes in tape length due to variations in atmospheric temperature
B)The difference between a working tape length and a standard tape length
C)Both A and B
D)None of the above

Answer 2

Both A and B

Question 3

A line is measured as 1,200 ft at 98° F. Using a standard tape, what is the true length of the line?

A)1,197.70 ft
B)1,199.77 ft
C)1200.23 ft
D)1202.30 ft

Answer 3

1200.23 ft

Question 4

A distance of 644.52 chains equals which of the following?

A)189 m
B)42,538.32 ft
C)18,279.44 yd
D)All of the above

Question 5

A distance of 665.55 chains is equal to:

A)43926.30 yd
B)43926.30 m
C)43926.30 ft
D)None of the above

Question 6

A line that bears N 15°36' E also bears which of the following?

A)N 75°36' W
B)S 15°36' W
C)S 75°24' W
D)None of the above

Question 7

An area was measured to be bounded by 50 chains on one side and 150 chains on the other. The acreage of the area is:

A)200 acres
B)750 acres
C)2,000 acres
D)None of the above

Question 8

A 100' tape was used to measure a horizontal line found to be 1,500 ft. The tape was then compared with a standard and found to be only 99.97 feet in length. The true length of the measured line is:

A)1,499.00
B)1,499.55 ft
C)1,500.00 ft
D)1,500.45 ft

Question 9

When the direction of zero azimuth is north, a line of 195° azimuth will have a bearing of:

A)S 15° W
B)S 75° W
C)S 15° E
D)S 75° E

Question 10

For a route surveying project along Interstate 70, the beginning of the project is station 170+00.00. If the end of the project is station 226+45.23, the total length of the project is:

A)22,645.23 ft
B)5,645.23 ft
C)2,645.23 ft
D)56.45 ft

Question 11

Given a triangle with a base of 42.20 feet and a height of 63.10 feet, find the area of the triangle.

A)105.30 ft< sup>
2<
/sup>
B)634.3 ft< sup>
2<
/sup>
C)1,000 ft< sup>
2<
/sup>
D)1,331.41 ft< sup>
2<
/sup>

Question 12

Why is trilateration important to the Global Positioning System (GPS)?

A)Trilateration is a method used to calculate the relative location of an object that requires four reference points.
B)The triangulation method was found to be based on incorrect mathematics and has been abandoned in practice.
C)Trilateration is a complex word that confuses many and fulfills the government's desire to make everything as confusing as possible.
D)None of the above

Question 13

What are the advantages of using the Least Squares Method rather than the Compass Rule adjustment to address traverse closure errors?

A)The least squares method results in a weighted means adjustment.
B)The least squares method may be used to adjust any type of data to meet geometric conditions and reflect statistical considerations.
C)Free computer software programs are readily available to solve complex equations.
D)All of the above

Question 14

The given numbers are daily groundwater elevation readings from a monitoring well taken during a month experiencing snowmelt and extended rainfall events.
7.6 7.7 4.3 5.9 5.0 10.5 7.7 9.5 12.0 12.6 6.5 8.3 8.2 13.2 12.6 13.6 14.1 13.5 11.5 12.0 10.4 10.8 13.1 12.5 10.4 13.0 14.1 15.1
What is the sample variance of these groundwater elevation readings?

A)8.764
B)9.089
C)10.56
D)None of the above

Question 15

The given numbers are daily groundwater elevation readings from a monitoring well taken during a month experiencing snowmelt and extended rainfall events.
7.6 7.7 4.3 5.9 5.0 10.5 7.7 9.5 12.0 12.6 6.5 8.3 8.2 13.2 12.6 13.6 14.1 13.5 11.5 12.0 10.4 10.8 13.1 12.5 10.4 13.0 14.1 15.1
What is the standard deviation of these groundwater elevation readings?

A)3.01
B)8.76
C)9.08
D)None of the above.

Question 16

Which of the following statements correctly describes the law of reflection?

A)The angle between an incident ray of light and the normal to the reflector's surface equals the angle between the reflector's surface and the reflected light ray.
B)The angle between an incident ray of light and the reflector's surface equals the angle between the normal to the reflector's surface and the reflected light ray.
C)The angle between an incident ray of light and the normal to the reflector's surface equals the angle between the normal and the reflected light ray.
D)The angle between an incident ray of light and the normal to the reflector's surface is complementary to the angle between the normal and the reflected light ray.

Question 17

Electric force is similar to gravitational force in what way?

A)Electric force decreases in strength as the distance between the charges increases.
B)Electric force is similar in strength to gravitational force.
C)Electric force is both attractive and repulsive.
D)Electric force is proportional to the mass of the object.

Question 18

An airplane that starts from rest at one end of a runway undergoes a uniform acceleration of 16 ft/sec< sup>
2<
/sup>
For 15 seconds before takeoff. What is the airplane's speed at takeoff?

A)31 ft/sec
B)225 ft/sec
C)240 ft/sec
D)None of the above.

Question 19

Angular motion is measured in which of the following units?

A)Radians
B)Degrees
C)Answers A and B
D)None of the above

Question 20

Dendrology is the study of which of the following?

A)Lakes
B)Trees
C)Teeth
D)Caves

Question 21

The elevation of Sta 5+00 on a 2% grad line is 250.00 ft and the elevation of Sta 15+00 on a 4% line is 246.00 ft. What is the station and elevation at which the two grade lines intersect?

A)9+00, 262.00 ft
B)11+00, 262.00 ft
C)11+00, 274.00 ft
D)None of the above