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From a point on the level ground, the angle of elevation of the top of a pole is `30^@`. On moving 20 metres nearer, the angle of elevation is `45^@`. Then the height of the pole, in metres , is

A

`10( sqrt3-1)`

B

`10(sqrt3+1)`

C

15

D

20

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1C
  1. The angle of elevation of an object from a point P on the level ground...

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  2. The angle of elevation of the top of a tower from a point on the same ...

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  3. From a point on the level ground, the angle of elevation of the top of...

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  4. The elevation of an object on a hill is observed from a certain point...

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

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  6. A flag staff of length 'd' stands on tower of height h. IF at a point ...

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

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  8. A flag staff on the top of the tower 80 mt of height subtends an angle...

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  9. The angles of elevation of a cliff at a point A on the ground and at a...

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  10. The top of a hill observed from the top and bottom of a building of he...

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  11. A flag staff of 5 mts high stands on a building of 25 mt high. At an o...

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  12. From the top of a building 60 m high the angle of elevation of the top...

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  13. The horizontal distance between two towers is 60m and the angular depr...

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  14. From the top of a cliff 60 mt high, the angles of depression of top an...

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  15. From the top of the hill h metres high the angles of depression of the...

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  16. These are two towers on a horizontal line. From the mid point of the l...

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  17. The angles of elevation of the tops of two vertical towers as seen fro...

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  18. P is a point on the segment joining the feet to vertical poles of heig...

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

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  20. The angle of elevation of a cloud from a point h mt above the surface ...

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