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9. Some Applications of Trigonometry

Trigonometry plays a vital role in determining heights and distances in various real-life applications. The chapter introduces concepts like line of sight, angles of elevation, and angles of depression, providing a foundation for solving practical problems using trigonometric ratios. Through several examples and exercises, the chapter illustrates how these concepts can be applied effectively to calculate unknown heights and distances.

Sections

  • 9

    Some Applications Of Trigonometry

    This section explores practical applications of trigonometry, particularly in measuring heights and distances.

    Learning Practice

  • 9.1

    Heights And Distances

    This section covers the practical applications of trigonometry in measuring heights and distances using angles of elevation and depression.

    Learning Practice

  • 9.1.1

    Example 1

    This section presents a problem involving the calculation of the height of a tower using trigonometric principles.

    Learning Practice

  • 9.1.2

    Example 2

    The section illustrates how to calculate the length of a ladder required for an electrician to reach a specific height safely.

    Learning Practice

  • 9.1.3

    Example 3

    This section illustrates how to calculate the height of a chimney using trigonometry based on the observer's position and angle of elevation.

    Learning Practice

  • 9.1.4

    Example 4

    This section involves calculating the height of a flagstaff and the distance from a point to a building using trigonometric relationships.

    Learning Practice

  • 9.1.5

    Example 5

    This section presents a problem involving the relationship between the height of a tower and the lengths of its shadow at different sun altitudes.

    Learning Practice

  • 9.1.6

    Example 6

    This section explores the angles of depression from the top of a multi-storeyed building to an 8 m tall building, using trigonometry to determine the height of the multi-storeyed building and the distance between the two.

    Learning Practice

  • 9.1.7

    Example 7

    This section involves calculating the width of a river using angles of depression from a bridge.

    Learning Practice

  • 9.1.8

    Exercise 8

    This section presents several exercises involving the calculation of heights and distances using trigonometric principles.

    Learning Practice

  • 9.2

    Summary

    This section reviews essential concepts related to the line of sight, angles of elevation, and angles of depression in trigonometry.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • The line of sight is drawn ...
  • The angle of elevation is f...
  • The angle of depression is ...

Final Test

Revision Tests

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