Some Applications of Trigonometry
Madhya Pradesh Board · Class 10 · Mathematics
Quick revision notes for Some Applications of Trigonometry — Madhya Pradesh Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Get startedKey Topics to Revise
1. Core Ideas and Definitions
- Line of sight is the line drawn from the eye of an observer to the point in the object viewed by the observer.
- Angle of elevation is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level.
- Angle of depression is the angle formed by the line of sight with the horizontal when the point being viewed is below the horizontal level.
2. Worked Patterns from Standard Problems
- Example 1 uses tan 60° because the ratio involves the tower height and the distance from its foot.
- Example 2 uses sin 60° to find the ladder length and cot 60° to find the distance of the ladder foot from the pole.
- Example 3 adds the observer’s height to the height above eye level.
3. Key Results to Remember
- Height of the tower in Example 1 is 15sqrt(3) m.
- Length of the ladder in Example 2 is 4.28 m.
- Distance of the ladder foot from the pole in Example 2 is 2.14 m.
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