applications of trignometry

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this gives a 15yr old maths student some fundamentals of applications of trignometry

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Applications of Trigonometry : 

Applications of Trigonometry Lesson 12: CBSE Text book, 2008 S Chand & Co

FUNDAMENTALS : 

FUNDAMENTALS If θ is an angle The 90-θ is it’s complimentary angle Angle of elevation Angle of depression

12.1/10 : 

12.1/10 θ φ C B A D

E12.1/14 : 

E12.1/14 45 60 12 h d Pl show how you will do this division

E12.1/14 : 

E12.1/14 30 45 12 h d h-12

E12.1/26 : 

E12.1/26 30 45 7 h d

E12.1/28 : 

E12.1/28 3500mtrs 45 3500mtrs 30 h

Some Problem : 

Some Problem The angle of elevation of the top of a tower from a point At the foot of the tower is 300 . And after advancing 150mtrs Towards the foot of the tower, the angle of elevation becomes 600 .Find the height of the tower 150 h d 30 60

12.1/38 : 

12.1/38

E12.1/49 : 

E12.1/49 α β h d x x

E12.1/58-1 : 

E12.1/58-1 0.5 1.5 60 L

E12.1/58-2 : 

E12.1/58-2 0.5 1.5 60 L 0.5 0.5 0.5 L1 L2 L1

Problem: : 

Problem: A boy 1.6m tall can just see the sun over a wall 3.7m high Which is 2.1m away from him. Find the angle elevation of the sun 1.6 3.7 θ A C B D AB=3.7-1.6=2.1 2.1 Tanθ=2.1/2.1=1 Hence θ=450

E12.1/52 : 

E12.1/52 β b d h O A B C D β

Thanks for your attention : 

Thanks for your attention