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In a prison wall there is a window of 1 metre height, 14 metres from the ground. An observer standing at a distance from the wall finds the angle of elevation of the top of the window and the top af the wall to be `45^(@) and 60^(@)` respectively. The height of the wall above the window is

A

`15sqrt3`

B

`15(1-1/sqrt3)`

C

`15(sqrt3-1)`

D

`14(sqrt3-1)`

Text Solution

Verified by Experts

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

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

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

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

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

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

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  14. The angle of elevation of the top of a tower from the top and botton o...

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  15. The tops of two poles of heights 10 metres and 12 metres are connected...

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  16. A person observes the top of a tower from a point A on the ground. the...

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  17. P is a point on the segment joining the feet of two vertical poles of ...

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  18. If a flag staff of 6 mt high placed on the top of a tower throws a sha...

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  20. A tower subtends an angle alpha at a point A on the same level as the ...

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