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Applications of Trigonometry in Various Fields

Description: This quiz covers various applications of trigonometry in different fields, including surveying, navigation, engineering, and astronomy.
Number of Questions: 15
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Tags: trigonometry applications surveying navigation engineering astronomy
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In surveying, what is the primary purpose of using trigonometry?

  1. To determine the distance between two points

  2. To calculate the area of a triangular plot

  3. To find the height of a building

  4. To measure the angle of elevation or depression


Correct Option: A
Explanation:

Trigonometry is used in surveying to determine the distance between two points, often using the principles of triangulation.

In navigation, what is the main application of trigonometry?

  1. To calculate the distance traveled by a ship

  2. To determine the direction of a ship's movement

  3. To find the latitude and longitude of a ship

  4. To measure the speed of a ship


Correct Option: B
Explanation:

Trigonometry is used in navigation to determine the direction of a ship's movement, often using the principles of dead reckoning.

In engineering, what is one common application of trigonometry?

  1. To calculate the forces acting on a structure

  2. To determine the angle of a roof pitch

  3. To find the length of a bridge span

  4. To measure the height of a building


Correct Option: A
Explanation:

Trigonometry is used in engineering to calculate the forces acting on a structure, such as a bridge or a building, to ensure its stability.

In astronomy, what is one important application of trigonometry?

  1. To calculate the distance to a star

  2. To determine the size of a planet

  3. To find the angle of a star's orbit

  4. To measure the speed of light


Correct Option: A
Explanation:

Trigonometry is used in astronomy to calculate the distance to a star, often using the principles of parallax.

In surveying, what is the term used for the angle between the horizontal and the line of sight to an object?

  1. Angle of elevation

  2. Angle of depression

  3. Angle of incidence

  4. Angle of reflection


Correct Option: A
Explanation:

In surveying, the angle between the horizontal and the line of sight to an object is called the angle of elevation.

In navigation, what is the term used for the angle between the true north and the direction of a ship's movement?

  1. Course

  2. Bearing

  3. Heading

  4. Azimuth


Correct Option: B
Explanation:

In navigation, the angle between the true north and the direction of a ship's movement is called the bearing.

In engineering, what is the term used for the angle between two intersecting lines or planes?

  1. Angle of intersection

  2. Angle of inclination

  3. Angle of incidence

  4. Angle of reflection


Correct Option: A
Explanation:

In engineering, the angle between two intersecting lines or planes is called the angle of intersection.

In astronomy, what is the term used for the angle between the ecliptic and the celestial equator?

  1. Obliquity of the ecliptic

  2. Angle of inclination

  3. Angle of incidence

  4. Angle of reflection


Correct Option: A
Explanation:

In astronomy, the angle between the ecliptic and the celestial equator is called the obliquity of the ecliptic.

In surveying, what is the term used for the horizontal distance between two points?

  1. Horizontal distance

  2. Horizontal displacement

  3. Horizontal component

  4. Horizontal projection


Correct Option: A
Explanation:

In surveying, the horizontal distance between two points is simply called the horizontal distance.

In navigation, what is the term used for the vertical distance between two points?

  1. Vertical distance

  2. Vertical displacement

  3. Vertical component

  4. Vertical projection


Correct Option: A
Explanation:

In navigation, the vertical distance between two points is simply called the vertical distance.

In engineering, what is the term used for the angle between a force and the horizontal?

  1. Angle of attack

  2. Angle of incidence

  3. Angle of elevation

  4. Angle of depression


Correct Option: A
Explanation:

In engineering, the angle between a force and the horizontal is called the angle of attack.

In astronomy, what is the term used for the angle between the axis of rotation of a planet and the normal to its orbital plane?

  1. Axial tilt

  2. Angle of inclination

  3. Angle of incidence

  4. Angle of reflection


Correct Option: A
Explanation:

In astronomy, the angle between the axis of rotation of a planet and the normal to its orbital plane is called the axial tilt.

In surveying, what is the term used for the instrument used to measure angles?

  1. Theodolite

  2. Level

  3. Transit

  4. Clinometer


Correct Option: A
Explanation:

In surveying, the instrument used to measure angles is called a theodolite.

In navigation, what is the term used for the instrument used to measure the angle of elevation or depression of a celestial body?

  1. Sextant

  2. Astrolabe

  3. Quadrant

  4. Cross-staff


Correct Option: A
Explanation:

In navigation, the instrument used to measure the angle of elevation or depression of a celestial body is called a sextant.

In engineering, what is the term used for the instrument used to measure the angle between two surfaces?

  1. Protractor

  2. Clinometer

  3. Inclinometer

  4. Bevel gauge


Correct Option: D
Explanation:

In engineering, the instrument used to measure the angle between two surfaces is called a bevel gauge.

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