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At a certain point the angle of elevatio...

At a certain point the angle of elevation of a tower is found to be `cot^(-1)(3/5)`. On walking 32 metres directly towards the tower its angle of elevation is `cot^(-1)(2/5)`. The height of the tower in metres is

A

32

B

160

C

320

D

340

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The correct Answer is:
B
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AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. The angle of elevation of an object from a point P on the level ground...

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  2. The angles of elevation of a tower from two points which are at distan...

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  3. At a certain point the angle of elevation of a tower is found to be co...

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  4. The angle of elevation of the top of a tower standing on a harzontal p...

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  5. A person stading on the bank of a river observerves that the angle of ...

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  6. From the top of a hill h metre high, the angles of depressions of the ...

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  7. A chimney leans towards north. At equal distance due north and south o...

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  8. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

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  9. A vertical tower stands on a declivity which is inclinde at 15^(@) to ...

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  10. In a prison wall there is a window of 1 metre height, 14 metres from t...

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  11. A flag-staff stands on a tower which is on level ground. The total hei...

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  12. A tower stands at the top a hill whose height is three times the heigh...

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  13. A vertical pole more than 100 ft high consists of two portions the low...

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  14. A straight pole A subtends a right angle at a point B of another pole ...

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  15. A tower, of x metres high, has a flagstaff at its top. The tower and t...

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  16. From the top of a chiff 30 metres high, the angle of elevation of the ...

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  17. From a point E on the horizontal due to east of a tree, the top of the...

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  18. Two pillars of equal height stand at a distance of 100 metres. At a po...

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  19. The angle of elevation of a stationar cloud from a point 2500 m above ...

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  20. The angle of elevation of the top point P of a vertical tower PQ of he...

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