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On a straight line passing through the foot of a tower, two points C and D are at distances of 4 m and 16 m from the foot respectively. If the angles of elevation from C and D of the top of the tower are complementary, then find the height of the tower.

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The correct Answer is:
8 m
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On a straight line passing through the foot of a tower,two points C and D are at distances of 4m and 16m from the foot respectively.If the angles of elevation from C and D of the top of the tower are complementary,then find the height of the tower.

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NAGEEN PRAKASHAN-SOME APPLICATIONS OF TRIGONOMETRY-Exercise
  1. From the top of a light-hours, the angles of depression of two ships o...

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  2. An aeroplane, when 3000 m high, passes vertically above anthoer aeropl...

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  3. The angle of elevation of the top of am incomplete temple, at a point ...

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  4. The angle of elevation of the top of an incomplete tower, at a point 4...

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  5. On a straight line passing through the foot of a tower, two points C a...

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  6. The angle of elevation of the top of a tower from the foot of a house,...

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  7. There is a 7m high statue standing on a cliff. At a point P on the gro...

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  8. The distance between two towers is 140 m while seeing from the top if ...

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  9. A temple and a flagstaff surmounted at its top, each subtends equal an...

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  10. A 7 m long flagstaff is fixed on the top of a tower on the horizontal...

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  11. At one side of a road, there os a house and on the other side there is...

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  12. A tower subtends an angle of 60^(@) at a point on the plane passing th...

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  13. An aeroplane is flying over two houses which are at a distance of 300 ...

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  14. From the top of a 96 m tower, the angles of depression of two cars, on...

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  15. The angle of elevation of the top of a vertical tower, from a point in...

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  16. The upper part of a tree broken over by the wind makes an angle of 60^...

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  17. From a boat, which is moving towards a bridge, the angle of elevation ...

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  18. The angle of elevation of the top of a building from the foot of the ...

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  19. The angle of elevation of the top of a building from the foot of the t...

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  20. A flagstaff on the top of tower 80 m high, subtends an angle tan^(-1)(...

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