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The angle of elevation of an object from...

The angle of elevation of an object from a point P on the level ground is `alpha`. Moving d metres on the ground towards the object, the angle of elevation is found to be `beta`. Then the height (in metres -of the object is

A

`d tan alpha`

B

`dcot beta`

C

`d/(cot alpha+cot beta)`

D

`d/(cot alpha-cot beta)`

Text Solution

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The correct Answer is:
D
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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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  8. From the top of a hill h metre high, the angles of depressions of the ...

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

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

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

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

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

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

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

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

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

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

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

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