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The angle of elevation of the top of a t...

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is `alpha`. After walking a distance d towards the foot of the tower, the angle of elevation is found to be `beta`. The height of the tower is

A

`(a sin alpha sin beta)/(sin (beta-alpha ))`

B

`(a sin alpha sin beta)/(sin (alpha -beta))`

C

`(a sin (beta-alpha ))/(sin alpha sin beta)`

D

`(a sin (alpha - beta))/(sin alpha sin beta) `

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-HEIGHTS AND DISTANCES-Exercise
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  3. The angle of elevation of the top of a tower standing on a horizontal ...

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  4. From an aeroplane vertically over a straight horizontal road, the angl...

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  5. A vertical tower stands on a declicity which is inclined at 15^@ to th...

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  6. The angle of elevation of an object on a hill from a point on the grou...

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  7. A tower of x metres height has flag staff at its top. The tower and th...

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  8. .A house of height 100 m substends a right angle at the window of an o...

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  9. A tower of height b substends an angle at a point O on the leavel of t...

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  10. A man of height 6 ft. observes the top of a tower and the foot of th...

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  11. If the elevation of the sun is 30^@ , then the length of the shadow c...

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  12. A ladder rests against a vertical wall at angle alpha to the horizonta...

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  13. From the top of a cliff 300 metres high, the top of a tower was obser...

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  14. The angles of elevation of the top of a tower at the top and the foot ...

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  15. A person standing on the bank of a river finds that the angle of elev...

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  16. A tower subtends an angle of 30^@ at a point on the same level as the ...

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  17. AB is a vertical pole and C is its mid point. The end A is on the leve...

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  18. The angle of depression of a point situated at a distance of 70 metres...

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  19. The angle of elevation of the top of a vertical tower from two points ...

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  20. An aeroplane flying horizontally , 1km above the ground , is observed...

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