Applications of Trigonometry
Telangana Board · Class 10 · Mathematics
Quick revision notes for Applications of Trigonometry — Telangana Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
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.
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.
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.
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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