Trigonometry Applications
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Questions and Answers

What represents the angle of elevation in the described scenario?

  • Angle ACB
  • Angle ABC
  • Angle CBA
  • Angle CAB (correct)

Which line segment represents the line of sight from the student's eye to the top of the structure?

  • AB
  • AC (correct)
  • AE
  • CB

If a student wants to determine the height of the structure using the angle of elevation, which angle should they measure?

  • Angle ACB
  • Angle CBA
  • Angle ABC
  • Angle CAB (correct)

In the scenario, what does the horizontal line AE represent?

<p>The distance from the student to the structure (C)</p> Signup and view all the answers

Which of the following correctly defines the line of sight?

<p>It is the line drawn from the eye to the point in the object viewed. (B)</p> Signup and view all the answers

What would happen if the angle of elevation is zero?

<p>The observer is looking horizontally at the top of the structure. (C)</p> Signup and view all the answers

Flashcards

Line of Sight

The line drawn from the observer's eye to a point in the object.

Angle of Elevation

The angle between the horizontal and the line of sight.

Horizontal Line

An imaginary line parallel to the ground

Line of Sight in Diagram

The line from the student's eye to top of the minar (structure).

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Angle of Elevation in Diagram

The angle between the horizontal line AE and line of sight AC in the diagram.

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Trigonometry in Heights and Distances

Trigonometry is used to calculate heights and distances of objects using angles and measurements.

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Study Notes

Trigonometry Applications

  • Trigonometry is used to calculate heights and distances.
  • The line of sight is drawn from the observer's eye to the object.
  • The angle of elevation is the angle between the line of sight and the horizontal.
  • The angle of elevation is measured from the horizontal up towards the object.
  • An observer is looking at an object, the angle of the line of sight with the horizontal is termed as the angle of elevation from the observer's eye to the point observed on the object.
  • The figure (Fig. 9.1) displays the line of sight (AC) from the student's eye to the top of the minar. The angle BAC is the angle of elevation

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Description

Explore the practical uses of trigonometry in calculating heights and distances. This quiz covers concepts such as the line of sight, angle of elevation, and how they apply to real-world scenarios. Test your understanding of this essential mathematical tool!

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