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Some applications on Trigonometry


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This is a PPT on the basics of 'Applications Of Trigonometry'

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Some applications on Trigonometry

  1. 1. Done By: Name: Gourisankaran Pillai Class: 10 E School: Christ Nagar Central School
  2. 2. Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides.
  3. 3. In this topic we shall make use of Trigonometric Ratios to find the height of a tree, a tower, a water tank, width of a river, distance of ship from lighthouse etc.
  4. 4. Line of Sight Horizontal
  5. 5. The angle which the line of sight makes with a horizontal line drawn away from their eyes is called the angle of Elevation of aeroplane from them.
  6. 6. Angel of Elevation
  7. 7. If the pilot of the aeroplane looks downwards at any object on the ground then the Angle between his line of sight and horizontal line drawn away from his eyes is called ‘Angle of Depression.’
  8. 8. Angle of Depression Horizontal Angle of Depression
  9. 9. Now let us Solve some problem related to Height and Distance
  10. 10. Sol:- Let AB be the tower and the angle of elevation from point C (on ground) is 30°. In ΔABC, . Therefore, the height of the tower is .
  11. 11. Sol:- It can be observed from the figure that AB is the pole. In ΔABC, Therefore, the height of the pole is 10 m.
  12. 12. . Sol:- Let K be the kite and the string is tied to point P on the ground. In ΔKLP, Hence, the length of the string is .