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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

`(d)/(tan beta + tan alpha)`

B

`(d)/(tan beta - tan alpha)`

C

`(d)/(cot beta + cot alpha)`

D

`(d)/(cot alpha - cot beta)`

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UNITED BOOK HOUSE-Application of Trigonnometric Ratios : Heights of Distance-Exercise
  1. The shadow of a tower is 16 metre when the angle of elevation of the s...

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  2. The angle of elevation of the sun, when the length of the shadow of a ...

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  3. An observer of 1.6m tall is 20sqrt3 away from a tower. The angle of e...

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  4. When a point is observed, the angle formed by the line of sight with t...

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  5. When we lower our head to look at the object, the angle formed by the ...

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  6. When the length of the shadow of a pillar is equal to its height, the ...

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  7. The tops of two poles of height 10 m and 18 m are connected with wire....

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  8. If the angle of elevation of the top of a tower from two points distan...

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  9. If the angles of elevation of a tower from two points distance a and b...

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  10. Two persons are a metres a part and the height of one is double that o...

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  11. The angle of elevation of a cloud from a point 200 m above a lake is...

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

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  13. From a light house the angles of depression of two ships on opposite s...

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  14. The angle of elevation of the top of a tower standing on a horizontal ...

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  15. It is found that on walking x metres towards a chimney in a horizontal...

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  16. From the top of a cliff 25 m high the angle of elevation of a tower is...

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  17. Find the angle of depression of a boat from the bridge at a horizontal...

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  18. In the figure D is the midpoint of BC, angleCAB = alpha, angleDAB = be...

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  19. The length of the shadow of a tower standing on level ground is found ...

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  20. The angle of elevation of a cloud from a point 200 m above a lake is...

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