Angle Measurement and Line Direction
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Questions and Answers

What is a back azimuth?

  • The azimuth of a line running in the reverse direction. (correct)
  • The angle measured clockwise from north to a point.
  • The azimuth measured counterclockwise from south.
  • The bearing calculated from the midpoint of a segment.
  • How is a back bearing related to a line's orientation?

  • It indicates the same direction as the forward bearing.
  • It is always 90 degrees more than the forward bearing.
  • It is the average of the forward and reverse bearings.
  • It is the bearing in the opposite direction to the forward bearing. (correct)
  • Which of the following statements is true regarding back azimuths?

  • Back azimuths are always given in degrees.
  • Back azimuths cannot be calculated for angles exceeding 180 degrees.
  • Back azimuths provide a reference for orientation in reverse. (correct)
  • Back azimuths are the same as bearings when pointing southward.
  • What is the main purpose of determining a back azimuth?

    <p>To navigate in the reverse direction of a line.</p> Signup and view all the answers

    If the forward bearing of a line is 120 degrees, what is the back azimuth?

    <p>240 degrees</p> Signup and view all the answers

    What is the main purpose of a Prismatic Compass?

    <p>To measure magnetic bearings</p> Signup and view all the answers

    What other type of compass is mentioned alongside the Prismatic Compass?

    <p>The Surveyor's Compass</p> Signup and view all the answers

    Which statement accurately reflects the types of compasses included in the collection?

    <p>There are two main kinds of magnetic compasses.</p> Signup and view all the answers

    Which of the following is NOT a purpose of the Prismatic Compass?

    <p>Calculating geographical coordinates</p> Signup and view all the answers

    What is a feature that differentiates the Prismatic Compass from other compasses?

    <p>Its inclusion of a prism for sighting</p> Signup and view all the answers

    What is the back azimuth for an azimuth of 120°?

    <p>300°</p> Signup and view all the answers

    Which statement correctly describes the process to determine a back azimuth for an azimuth above 180°?

    <p>Subtract 180° from the azimuth.</p> Signup and view all the answers

    If the azimuth is 200°, what is the back azimuth?

    <p>20°</p> Signup and view all the answers

    What is the correct definition of back azimuth?

    <p>The angle opposite to the direction of progress.</p> Signup and view all the answers

    Which of the following azimuths would require subtracting 180° to find the back azimuth?

    <p>190°</p> Signup and view all the answers

    What are the three elements that determine an angle?

    <p>Reference line, angle size, angle measurement</p> Signup and view all the answers

    Which term describes the direction or orientation of an angle in relation to a reference line?

    <p>Bearing</p> Signup and view all the answers

    What is a reference meridian typically used for in angle measurement?

    <p>Determining horizontal angles</p> Signup and view all the answers

    Which instrument is commonly used for measuring angles?

    <p>Theodolite</p> Signup and view all the answers

    In the context of angle measurement, what is an azimuth angle?

    <p>The angle measured clockwise from a reference direction</p> Signup and view all the answers

    What is the correct format for writing a bearing?

    <p>A number less than or equal to 90º with N or S preceding and E or W following</p> Signup and view all the answers

    How is azimuth defined in relation to direction?

    <p>The clockwise angle from the north direction of the reference meridian</p> Signup and view all the answers

    Which of the following best describes a bearing greater than 90º?

    <p>It is incorrectly formatted and therefore invalid</p> Signup and view all the answers

    What is the significance of the letters N, S, E, and W in bearings?

    <p>They indicate the direction from which the angle is measured</p> Signup and view all the answers

    In the context of directional measurements, what does the term 'reference meridian' refer to?

    <p>The origin point for measuring azimuth in a clockwise manner</p> Signup and view all the answers

    What is the significance of angle EAB in surveying?

    <p>It is the angle formed with a backsight and a foresight.</p> Signup and view all the answers

    How can interior angles be improved in surveying?

    <p>By averaging equal numbers of direct and reversed readings.</p> Signup and view all the answers

    What does the term 'foresight' refer to in surveying?

    <p>The measurement taken towards the next station.</p> Signup and view all the answers

    Which statement accurately describes the role of backsight in measuring angles?

    <p>It is the reference angle from which direct readings are made.</p> Signup and view all the answers

    Why is averaging equal numbers of direct and reversed readings important?

    <p>To reduce systematic errors in measuring the angles.</p> Signup and view all the answers

    Study Notes

    Angle Measurement

    • Angles are defined as the difference in direction between two convergent lines.
    • Horizontal angles are formed by the directions to two objects in a horizontal plane.
    • Vertical angles are formed by two intersecting lines in a vertical plane, one being horizontal.
    • Interior angles are measured inside a closed polygon, and their sum equals (n - 2) × 180°, where n is the number of angles.
    • Exterior angles are located outside a closed polygon and are the supplement of interior angles. Their sum, plus the interior angles, equals 360°.
    • Deflection angles are measured from an extension of the preceding course to the ahead line, either right (R) or left (L).

    Direction of a Line

    • Direction of a line is defined by the horizontal angle between the line and an arbitrarily chosen reference line (meridian).
    • Geodetic meridian is a north-south reference line passing through Earth's geographic poles.
    • Astronomic meridian passes through instantaneous position of Earth's geographic poles.
    • Magnetic meridian is defined by a freely suspended magnetic needle, only affected by Earth's magnetic field.
    • Grid meridian is used in surveys based on a coordinate system, parallel to geodetic north for a central meridian.
    • Record meridian refers to directional references used in recorded documents from a previous survey.
    • Assumed meridian is an arbitrarily assigned direction, often using a reference line.

    Bearings and Azimuths

    • Azimuths are horizontal angles measured clockwise from a reference meridian.
    • In surveying, azimuths are usually observed from north.
    • Bearings are another system for designating directions of lines, defining the acute horizontal angle between a reference meridian and the line, measured from north or south towards east or west.
    • Bearings are less than 90° and use letters (N, S, E, W) to indicate the quadrant.

    Comparison of Azimuths and Bearings

    • Azimuths vary from 0° to 360°.
    • Bearings vary from 0° to 90°.
    • Azimuth requires only a numerical value.
    • Bearings require two letters and a numerical value.

    Back Azimuths and Back Bearings

    • The back azimuth/bearing of a line is in the reverse direction of the forward azimuth/bearing.
    • Back azimuth is calculated based on the forward azimuth:
      • Adding 180° if forward azimuth is less than 180°, or
      • Subtracting 180° if forward azimuth is greater than 180°.
    • Back bearing is derived from the forward bearing by switching the first and second letters respectively (e.g., N to S, E to W).

    Theodolite Survey

    • Theodolites are surveying instruments used to measure horizontal and vertical angles.
    • Theodolites work by combining optical plummets (or plumb bobs), a spirit level, and graduated circles.
    • They can be classified as Optical-reading, Optical-reading repeating, Optical-reading directional, and Electronic-Digital.

    Traverse

    • A traverse is a series of consecutive lines whose lengths and directions are determined from observations.
    • Closed traverses return to the starting point, forming a closed figure. Examples are polygon and link.
    • Open traverses do not return to the starting point and need greater accuracy.

    Angle Misclosure

    • Angular misclosure is the difference between the observed angles and the geometrically correct total for a polygon traverse.
    • Using (n-2)*180° for interior angles and (n+2)*180° for exterior angles where n is the number of sides.

    Balancing Angles

    • Angle balancing involves adjusting observed interior angles to match the geometric total of a closed traverse, using corrections based on poor observation conditions (if any).
    • Two main methods are used: applying an average correction to all angles or making larger corrections to angles with poor observing conditions.

    Departures and Latitudes

    • Departures of a course are its orthographic projection along the east-west axis, and latitudes are its projection along the north-south axis.
    • Calculated using the line's length and azimuth/bearing.

    Coordinates

    • Plane rectangular coordinate system.
    • X-axis is east-west.
    • Y-axis is north-south.
    • Used to define the location of traverse stations.

    Inversing

    • Methods relate departures, latitudes, azimuths and bearings, enabling calculation of length and azimuth if departure and latitude are known.

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    Description

    Explore the principles of angle measurement and the direction of lines in this quiz. Delve into horizontal and vertical angles, as well as the concepts of interior and exterior angles in polygons. Test your knowledge on how angles are utilized in geodetic and astronomic contexts.

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