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From the top of a cliff 300 metres high,...

From the top of a cliff 300 metres high, the top of a tower was observed at an angle of depression `30^@` and from the foot of the tower the top of the cliff was observed at an angle of elevation `45^@`, The height of the tower is

A

`50(3-sqrt3)m`

B

`200(3-sqrt3)` m

C

`100(3-sqrt3)m`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-HEIGHTS AND DISTANCES-Exercise
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  8. The angle of depression of a point situated at a distance of 70 metres...

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  11. At the foot of the mountain the elevation of its summit is 45^@, after...

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  12. At a distance 12 metres from the foot A of a tower AB of height 5 met...

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  13. A tower 50 m high , stands on top of a mount, from a point on the grou...

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  14. A person on a ship sailing north sees two lighthouses which are 6 km a...

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  15. An observer finds that the elevation of the top of a tower is 22.5^@ a...

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  16. A vertical lamp-post, 6m high, stands at a distance of 2 m from a wall...

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  17. The angle of elevation of the top of a vertical pole when observed ...

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  18. The upper (3/4)^(th) portion of a vertical pole subtends an angle "tan...

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  19. A person standing on the bank of a river observes that the angle of el...

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  20. A tower subtends angles alpha,2alpha,3alpha respectively, at point A ,...

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