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lesson 1

1. Applications of Trignometry

Applications of Trigonometry

🔹 What are Applications of Trigonometry?

Applications of trigonometry mean using trigonometric ratios to solve real-life problems.

Instead of directly measuring heights or distances, we use:

  • Angles

  • Right-angled triangles

  • Trigonometric ratios (sin, cos, tan)

🔹 Angle of Elevation

The angle of elevation is the angle formed when we look upwards from the ground to an object.

Examples:

  • Looking at the top of a building

  • Looking at the top of a tower

  • Looking at the top of a tree

🔹 Real-Life Examples

Trigonometry is used to find:

  • Height of a tower or building

  • Height of a tree using its shadow

  • Height reached by a ladder on a wall

All these problems can be converted into a right-angled triangle.

🔹 Key Idea

  • Height → opposite side

  • Distance on ground → adjacent side

  • Angle given → use tan θ