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If the angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary, find the height of the tower.

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The correct Answer is:
6 m
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The angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary.Prove that the height of the tower is 6m.

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CBSE COMPLEMENTARY MATERIAL-SOME APPLICATIONS OF TRIGONOMETRY-LONG ANSWER TYPE QUESTIONS
  1. The angle of elevation of a cloud from a point 60m above a lake is 30^...

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  2. A man standing on the deck of a ship, which is 10m above water level. ...

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  3. From a window 60 m high above the ground of a house in a street, the a...

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  4. The angle of elevation of a jet plane from a point A on the grund is 6...

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  5. A bird is sitting on the top of a 80 m high tree. From a point on the ...

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  6. If the angles of elevation of the top of a tower from two points at...

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  7. A boy standing on a horizontal plane finds a bird flying at a distance...

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  8. As observed from the top of a lighthouse, 100 m above sea level, the a...

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  9. The angles of elevation and depression of the top and bottom of a ligh...

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  10. The angles of elevation and depression of the top bottom of a light...

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  11. A fire in a building B is reported on telephone to two fire stat...

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  12. A 1.2 m tall girl spots a ballon moving with wind in a horizontal line...

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  13. The angle of elevation of cloud from a point 60 m above a lake is 30...

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  14. Two pillars of equal height stand on either side of a roadway which is...

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  15. The angle of elevation of the top of a tower from a certain point i...

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  16. A moving boat is observed from the top of a 150 m high cliff moving aw...

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  17. From the top of a 120 m hight tower a man observes two cars on the opp...

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  18. From the top of a tower h m high, angles of depression of two objects,...

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  19. A window of a house is h metres above the ground. From the window, the...

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