06 - Let's Recap - Some Applications of trigonometry - Class 10 - Maths Class 10 Notes | EduRev

Crash Course for Class 10 Maths by Let's tute

Class 10 : 06 - Let's Recap - Some Applications of trigonometry - Class 10 - Maths Class 10 Notes | EduRev

 Page 1


Some APPLICATION OF TRIGONOMETRY 
 
Trigonometry has many applications. Some of them were being used since ancient times. 
Some of the applications of trigonometry are:  
? used in astronomy in finding distances of stars and planets from the earth. 
? used in geography and in navigation.  
? used in constructing maps. 
? determining the position of an island in relation to longitudes and latitudes.  
In this chapter, we will observe how trigonometry is used to find the heights or lengths of 
various objects or the distance between two distinct objects by observing the angles that are 
subtended by those objects at the eye of the observer, without actually measuring them. 
 
1. Line of Sight 
Line of sight is a line drawn from the eye of an observer to the point in the object 
viewed by the observer. Imagine a person is standing on the ground and staring at the 
top of the Eiffel tower.                              
 
 
  
 
 
 
 
 
 
The line PQ drawn from the eye of the observer to the top of the Eiffel tower is called the line 
of sight. 
 
 
 
 
 
Page 2


Some APPLICATION OF TRIGONOMETRY 
 
Trigonometry has many applications. Some of them were being used since ancient times. 
Some of the applications of trigonometry are:  
? used in astronomy in finding distances of stars and planets from the earth. 
? used in geography and in navigation.  
? used in constructing maps. 
? determining the position of an island in relation to longitudes and latitudes.  
In this chapter, we will observe how trigonometry is used to find the heights or lengths of 
various objects or the distance between two distinct objects by observing the angles that are 
subtended by those objects at the eye of the observer, without actually measuring them. 
 
1. Line of Sight 
Line of sight is a line drawn from the eye of an observer to the point in the object 
viewed by the observer. Imagine a person is standing on the ground and staring at the 
top of the Eiffel tower.                              
 
 
  
 
 
 
 
 
 
The line PQ drawn from the eye of the observer to the top of the Eiffel tower is called the line 
of sight. 
 
 
 
 
 
 Some APPLICATION OF TRIGONOMETRY 
 
2. Angle of elevation 
 The angle of elevation of the point viewed is the angle formed by the line of sight  
 with the Horizontal line when the point being viewed is above the horizontal line or  
 level. (i.e. When we raise our head to look at the object) 
 
 
 
 
 
 
 
 
 
 
 
 
Since, the bird is above the horizontal line or level, observer raise his eyes to look at 
the bird due to which the line of sight is moved upwards to form an angle. 
 
3. 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 object is below the horizontal line or 
level. Consider an observer is standing in the lighthouse and monitoring a ship sailing 
in the sea.  
 
 
 
 
 
 
 
 
 
 
 
                                                                                                          
In this case, RS is the horizontal line and PR is the line of sight and the angle formed 
by these two lines i.e. SRP ? is the angle of depression. 
Read More
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Complete Syllabus of Class 10

Dynamic Test

Content Category

Related Searches

video lectures

,

06 - Let's Recap - Some Applications of trigonometry - Class 10 - Maths Class 10 Notes | EduRev

,

Summary

,

Free

,

study material

,

pdf

,

shortcuts and tricks

,

Important questions

,

Previous Year Questions with Solutions

,

Exam

,

mock tests for examination

,

Objective type Questions

,

ppt

,

MCQs

,

06 - Let's Recap - Some Applications of trigonometry - Class 10 - Maths Class 10 Notes | EduRev

,

Viva Questions

,

past year papers

,

practice quizzes

,

Extra Questions

,

Sample Paper

,

Semester Notes

,

06 - Let's Recap - Some Applications of trigonometry - Class 10 - Maths Class 10 Notes | EduRev

;