Short Answer Questions: Some Applications of Trigonometry

# Class 10 Maths Chapter 9 Question Answers - Some Applications of Trigonometry

SHORT ANSWER TYPE QUESTIONS

Q1. A tower stands vertically on the ground. From a point on the ground which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower.

Sol. In the figure, AB is the tower,

∴ AB = h metres
In rt Δ ABC, we have:

⇒      |∵ tan 60° = √3 and AB = 20 m

⇒ h = 20√3 metre
Thus, the height of the tower = 20√3 m.

Q2. The angle of depression of the top and the bottom of a 9 m high building from the top of a tower are 30° and 60° respectively. Find the height of the tower and the distance between the building and the tower.

Sol. Let AB represents the building and CD be the tower.

∴ AB = 9 m

In right Δ BDC, we have:

⇒

In right Δ AEC, we have:

Thus, height of the tower = 13.5 m
Distance between the building and the tower = 7.8 m

The document Class 10 Maths Chapter 9 Question Answers - Some Applications of Trigonometry is a part of the Class 10 Course Mathematics (Maths) Class 10.
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## Mathematics (Maths) Class 10

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## FAQs on Class 10 Maths Chapter 9 Question Answers - Some Applications of Trigonometry

 1. What are some real-life applications of trigonometry?
Ans. Trigonometry has several real-life applications, such as determining the height of a building, calculating distances between objects, analyzing sound waves, predicting tides, and designing bridges and buildings.
 2. How is trigonometry used in architecture?
Ans. Trigonometry is used in architecture to calculate the angles and lengths of different architectural elements, such as roof slopes, staircases, and arches. It helps architects ensure structural stability and create aesthetically pleasing designs.
 3. Can trigonometry be used in navigation?
Ans. Yes, trigonometry is extensively used in navigation. By using trigonometric functions, sailors and pilots can determine their position, calculate distances between two points, and find the bearing or direction of their destination.
 4. How is trigonometry used in astronomy?
Ans. Trigonometry plays a crucial role in astronomy. Astronomers use trigonometric calculations to determine the distance between celestial objects, calculate the size of planets and stars, and predict the paths of comets and asteroids.
 5. What is the importance of trigonometry in engineering?
Ans. Trigonometry is essential in engineering for various applications. It helps engineers calculate angles, distances, and forces in structural design, mechanical systems, electrical circuits, and surveying. It is also used in designing and analyzing machinery and vehicles.

## Mathematics (Maths) Class 10

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