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.
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Sections
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What we have learnt
- The line of sight is drawn from the eye of an observer to the point in the object viewed.
- The angle of elevation is formed when the line of sight is raised above the horizontal level.
- The angle of depression is formed when the line of sight is lowered below the horizontal level.
- Trigonometric ratios assist in determining distances, heights, and lengths of objects.
Key Concepts
- -- Line of Sight
- The line drawn from an observer's eye to a point of interest in an object.
- -- Angle of Elevation
- The angle formed by the line of sight with the horizontal when the observed point is above the horizontal level.
- -- Angle of Depression
- The angle formed by the line of sight with the horizontal when the observed point is below the horizontal level.
- -- Trigonometric Ratios
- Ratios such as sine, cosine, and tangent that relate the angles and lengths of triangles, used for calculating heights and distances.
Additional Learning Materials
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