NCERT Solutions for class 10 Maths Chapter 9 Exercise 9.1 (प्रश्नावली 9.1) Some applications of * Trigonometry* for CBSE Board & UP Board 2018-2019 onward in Hindi and English Medium free to download in PDF form. The solutions are given in two part (part 1 is from question 1 to 9 and part 2 is from 10 to 16). Download class 10 all subjects’ solutions in PDF form for the

*exams 2018-2019. These solutions are based on latest*

**CBSE***.*

**CBSE syllabus 2018-19**

## NCERT Solutions for class 10 Maths Chapter 9

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### Class 10 Maths Solutions – Some Applications of Trigonometry

**Exercise 9.1 (Question 1 to Question 9) Study Online****Exercise 9.1 (Question 10 to Question 16)****NCERT Books in Hindi & English Medium**

#### Previous Years Questions

##### One mark questions

- The ratio of the height of a tower and the length of its shadow on the ground is √3:1. What is the angle of elevation of the sun? [CBSE 2017]

##### Three marks questions

- From the top of a 7 m high building, the angle of elevation of the top of a tower is 60 and the angel of depression of its foot is 45. Find the height of the tower. [CBSE 2017]

##### Four marks questions

- Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are 60 and 45 respectively. If the height of the tower is 15 m, then find the distance between these points. [CBSE 2017]

Trigonometry has wide application in solving problems related to real life situations. One of the best methods for the indirect measurement of length or height involve trigonometric rations. Trigonometry is extensively used in geography, navigation, astronomy, etc. The knowledge of trigonometry is used to construct maps, determine the position of different islands in relation to the longitudes and latitudes.

#### Related term to Some Applications of Trigonometry

**Horizontal Ray**: A ray parallel to the surface of the Earth emerging from the eye of an observer is called a horizontal ray.**Line of Sight:**The line of sight (or ray of vision) is the line drawn from the eye of an observer to the point in the object viewed by the observer.**Angle of Elevation:**The angle of elevation of the point viewed 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:**The angle of depression of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is below the horizontal level.

**Historical Facts!**

- Surveyors have used trigonometry for centuries. One such large surveying project (which is used for measuring angles with a
**rotating telescope**) of the nineteenth century was the ‘Great**Trigonometric**Survey’ of British India for which the two largest-ever theodolites were built. - During the survey in 1852, the highest mountain in the world was discovered. From a distance of over 160 km, the peak was observed from six different stations.
- In 1856, this peak was named after Sir George Everest, who had commissioned and first used the giant theodolites. The theodolites are now on display in the Museum of the Survey of India in Dehradun.

**Golden Words**

The mathematician does not study mathematics because it is useful. He study it because he delights in it and he delights in it because it is beautiful. … **Henri Poincare**