Hi students, Welcome to AMBiPi (Amans Maths Blogs). In this article, you will get Some Applications of Trigonometry CBSE NCERT Notes Class 10 Maths Chapter 9 PDF. You can download this PDF and save it in your mobile device or laptop etc.
Some Applications of Trigonometry CBSE NCERT Notes Class 10 Maths Chapter 9 PDF
Applications of Trigonometry
Trigonometry is used in astronomy for calculating the distances from the Earth to the planets and stars, also used in geography and in navigation, constructing maps, determine the position of an island in relation to the longitudes and latitudes.
Read More : Real Life Application of Trigonometry
Height and Distance
Line of Sight
The line of sight is the line drawn from the eye of an observer to the point in the object viewed by the observer.
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, the case when we raise our head to look at the object.
In this figure, the line AC drawn from the eye of the student to the top of the minar is called the line of sight. The angle BAC, so formed by the line of sight with the horizontal, is called the angle of elevation of the top of the minar from the eye of the student.
An 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, i.e., the case when we lower our head to look at the point being viewed.
Now, to solve the questions of applications of trigonometry (height and distance), you must need to learn concepts of trigonometry, like trigonometric ratios and trigonometric values of specific angles.
Class 10 Maths Chapter 9 Examples 1:
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
tan30 = AB/BC ⇒ 1/√3 = AB/30 ⇒ AB = 30/√3 = 10√3
Click below to get CBSE Class 10 Maths Chapter wise Revision Notes PDF.