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Applications of Trigonometry

Telangana Board · Class 10 · Mathematics

Complete topic list for Applications of Trigonometry in Telangana Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions25 flashcards5 concepts

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4 Topics · Telangana Board Class 10 Mathematics

Topics in Applications of Trigonometry

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.

Key Concepts

Central concept: Applications of Trigonometry

Line of sightAngle of elevationAngle of depressionModeling objects as linearTrigonometric ratiosTangent ratioSine ratioSingle right triangle problems

Frequently Asked Questions

What are the important topics in Applications of Trigonometry for Telangana Board Class 10 Mathematics?
Applications of Trigonometry covers several key topics that are frequently asked in Telangana Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Applications of Trigonometry — Telangana Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and 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.

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All 14 chapters — Telangana Board Class 10 Mathematics Syllabus

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