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Questions and Answers
Which of the following are types of meridians? (Select all that apply)
What is the basic unit used in the sexagesimal system for measuring angles?
Degree
What is the total number of parts a circle is divided into in the mil system?
6400
One radian is equal to ____.
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How do you convert the angle 2380 25′ 50′′ into decimal degrees?
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What is an interior angle?
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What is defined as the angle between a line and the prolongation of the preceding line?
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Study Notes
Direction of Lines
- The direction of a line is defined by the horizontal angle it makes with a fixed reference line.
- This reference line is usually a meridian.
- There are four types of meridians:
- True Meridian: Passes through the geographic north and south poles and the observer's position
- Magnetic Meridian: Parallel to the magnetic lines of force of the earth
- Grid Meridian: Parallel to the central meridian of a system of plane rectangular coordinates
- Assumed Meridian: Commonly the direction from a survey station to an adjoining station or a permanent point
Units of Angular Measurement
- The Sexagesimal System uses degrees, minutes, and seconds to divide a circle into 360 parts.
- The Centesimal System uses grads, centesimal minutes, and centesimal seconds, dividing a circle into 400 parts.
- The Mil system divides a circle into 6400 equal parts, commonly used in military operations.
- The Radian is a natural unit of angle, defined as 180/Ï€.
Conversion of Angles
- Decimal degrees: Degrees + Minutes/60 + Seconds/3600
- Grads: (Angle in degrees * 400) / 360
- Mils: (Angle in degrees * 6400) / 360
- Radians: (Angle in degrees * 2Ï€) / 360
Direction of Lines Defined By:
- Interior angles: Angles between adjacent lines in a closed polygon. Re-entrant angles are interior angles greater than 180°.
- Deflection Angles: Angles between a line and the prolongation of the preceding line.
- Angles to the right: Measured clockwise from the preceding line to the forward line.
- Bearings: Angles measured clockwise from either north or south.
- Azimuths: Angles measured clockwise from north.
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Description
This quiz explores the concepts of direction for different types of meridians, including true, magnetic, grid, and assumed meridians. Additionally, it covers various units of angular measurement such as the sexagesimal system, centesimal system, mil system, and radian. Test your knowledge in surveying principles!
