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At the foot of a mountain the elevation ...

At the foot of a mountain the elevation of its summit is `45^(@)`. After ascending 2000 meter towards the mountain upon an incline of `30^(@)`, the elevation changes to `60^(@)`. What is the height of the mountain.

A

`2000(sqrt(3)-1)` meter

B

`1000(sqrt(3)-1)` meter

C

`2000(sqrt(3)+1)` meter

D

`1000(sqrt(3)+1)` meter

Text Solution

Verified by Experts

The correct Answer is:
B
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LUCENT PUBLICATION-HEIGHT AND DISTANCE-EXERCISE-12A
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  8. The angle of elevation of top of a house from top and bottom of tree a...

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  9. At a point on a horizontal line through the base of a monument ...

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  10. The angle of elevation of the to of a tower from a point A on the grou...

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  11. There are two vertical posts ,one on each side of a road ,just opposit...

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  12. At the foot of a mountain the elevation of its summit is 45^(@). After...

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  13. From a point on the ground the angle of elevation of top of a house an...

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  14. From a point of the ground, angle of elevation of top of a tower is 30...

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  15. The angle of depression of two consecutive kilometer stones in opposit...

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  16. The angle of elevation and depression of top of a statue from a point ...

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  17. A spherical balloon of radius 10 feet is in the open air. If angle of ...

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  18. The angle of elevation of an aeroplane from a point on the ground is 4...

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  19. Two stations due south of a leaning tower which leans towards the nort...

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  20. A balloon is slanting down in a straight line passes vertically above ...

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