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Applications of Trigonometry — Revision Notes

Telangana Board · Class 10 · Mathematics

Applications of Trigonometry revision notes for Telangana Board Class 10 Mathematics: 4 topics in quick points.

45 questions25 flashcards8 formulas & key relations5 concepts

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Key Topics to Revise

1

Core ideas and basic terms

  • The line of sight is the line drawn from the eye of an observer to a point on the object being viewed.
  • The angle of elevation is the angle between the line of sight and the horizontal line when the object is above the horizontal level.
  • The angle of depression is the angle between the line of sight and the horizontal line when the object is below the horizontal level.
2

One-triangle problems and worked examples

  • Example-4 uses tangent to find the height of a pole from an angle of elevation of 60° and a distance of 8 m.
  • Example-5 uses sine to find the distance of a person from Rajender in a helicopter problem.
  • The correct ratio depends on which sides are known and which side is required.
3

Two-triangle problems and worked examples

  • Two-triangle problems compare measurements from two observation points.
  • The palm tree problem uses two right triangles with angles 45° and 30°.
  • The temple problem uses two observers on opposite sides of a 30 m temple.
4

Important solved results and facts to remember

  • In Example-4, the boy observes the pole top at 60° from 8 m away, giving height 8√3 m.
  • In Example-5, the distance of the person from Rajender is 500√2 m.
  • In the palm tree problem with AB = 11 m and angles 30° and 45°, the height is 11/(√3-1) m.

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Full Notes

Key Concepts

The line of sight isThe line of sight is aboveThe angle between the lineObjects such as towersHeights and distances are found by

Frequently Asked Questions

What are the important topics in Applications of Trigonometry for Telangana Board Class 10 Mathematics?
Key topics in Applications of Trigonometry include Core ideas and basic terms, One-triangle problems and worked examples, Two-triangle problems and worked examples, Important solved results and facts to remember. Study these first, then practise questions on each for the Telangana Board Class 10 board exam.
How should I revise Applications of Trigonometry for the Telangana Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Applications of Trigonometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Applications of Trigonometry

All Telangana Board Class 10 Mathematics Revision Notes

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