JAWAHAR NAVODAYA VIDYALAYA, ONGOLE.��PRAKASAM (DIST.) ANDHRA PRADESH

NAME OF THE TOPIC : Applications of Trigonometry

CLASS - 10��

DONE BY:

K.LAKSHMI PRASAD

TGT MATHEMATICS

JNV ONGOLE.

PRAKASAM – 1, ANDHRA PRADESH

Applications of Trigonometry��

Trigonometry Applications in Real Life

• It may not have direct applications in solving practical issues but used in the various field. For example, trigonometry is used in developing computer music: as you are familiar that sound travels in the form of waves and this wave pattern through a sine or cosine function for developing computer music. Here are a few applications where trigonometry and its functions are applicable.
• Trigonometry to Measure Height of a Building or a Mountain.
• Trigonometry is used to in measuring the height of a building or a mountain. The distance of a building from the viewpoint and the elevation angle can easily determine the height of a building using the trigonometric functions.

Terminology to be Known!

Line of Sight: The Line Joining the observers eye and the object observed is known as Line of Sight

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Angle of Elevation: The angle between the horizontal Line and The line of Sight which is above the observer’s eye is called as Angle of Elevation.

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Angle of Depression: The angle between the Horizontal Line and Line of Sight which is below the observer’s eye.

10 √3

10

2. What is the sine of 30°?

In this triangle

sin(30°) = Opposite Side / Hypotenuse = 2.8 / 5.6 =1/2

4. How Tall is The Tree?�

Start with: sin(45°) = Opposite/Hypotenuse

1/√2 = h/20

h = 20/√2

= (20 x √2) / √2 x √2

= (20 x √2) / 2

= 10√2

h

Various Applications of Trigonometry in Daily Life.

THANK YOU