# NCERT Class 10 Mathematics Chapter 9 Some Applications of Trigonometry Solutions: In-Text and Exercise Questions Explained | SwaVid

This chapter, "Some Applications of Trigonometry" (Chapter 9) from the NCERT Class 10 Mathematics textbook, focuses on applying trigonometric ratios to...

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# Some Applications of Trigonometry

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Chapter 9 · Class 10 Mathematics

This chapter, "Some Applications of Trigonometry" (Chapter 9) from the NCERT Class 10 Mathematics textbook, focuses on applying trigonometric ratios to solve real-world problems involving heights and distances. It introduces concepts such as the line of sight, angle of elevation, and angle of depression. The chapter contains one main exercise, Exercise 9.1, which consists of 16 problems designed to test a student's understanding and application of these trigonometric principles.

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Exercise 9.1

Answer: The height of the pole is 10 m.

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- Let AB be the vertical pole and AC be the 20 m long rope tightly stretched from the top of the pole A to a point C on the ground. The angle made by the rope with the ground is ∠ACB = 30°.
- In the right-angled triangle ABC, we need to find the height of the pole AB.
- We know that sin θ = Opposite side / Hypotenuse.
- Here, sin 30° = AB / AC.
- Substitute the given values: 1/2 = AB / 20.
- Solve for AB: AB = 20 * (1/2) = 10 m.
- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 9: Some Applications of Trigonometry

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