Class 10 Maths Applications of Trigonometry Worksheet

Learning objective

Practise Maths Applications of Trigonometry Worksheet with written answers, self-checking, and mistake review.

Questions

1. Define angle of elevation with a simple diagram description.
2. Define angle of depression with a simple diagram description.
3. A tower casts a shadow of 20 m when the angle of elevation of the sun is 45 degrees. Find the tower height.
4. A pole is observed from a point 30 m away. The angle of elevation is 30 degrees. Find the height of the pole.
5. A ladder 10 m long makes an angle of 60 degrees with the ground. Find the height reached by the ladder.
6. From the top of a building, the angle of depression of a point on the ground is 45 degrees. If the building is 25 m high, find the distance of the point from the building.
7. A kite string makes an angle of 60 degrees with the ground. If the string length is 40 m, find the height of the kite.
8. Two points on the same side of a tower have angles of elevation 30 degrees and 60 degrees. Explain why the nearer point has the larger angle.
9. A tree breaks and the top touches the ground 8 m from the base, making an angle of 30 degrees with the ground. Write the trigonometric equation needed.
10. Why is drawing a diagram important before solving heights and distances problems?

Answer key

Use the question instructions to check method, keywords, units, diagrams, and final answer. A detailed answer key will be added for this worksheet as the resource is expanded.

How to use this worksheet

Students can solve the questions independently first, then review errors with a parent or teacher. Teachers can use it as a short class activity, homework sheet, or revision check.

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