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At the foot of the mountain the elevatio...

At the foot of the mountain the elevation of its summit is `45^(@)` After ascnding 100 mt towards the mountain up a slope of `30^(@)` inclination is found to be `60^(@)`. The height of the mountain is

A

`50(sqrt(3)-1)mts`

B

`50sqrt(3)mts`

C

`50(sqrt(3)+1)mts`

D

`50(2-sqrt(3))mts`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET Exercise-I (Straight Objective Type Questions)
  1. From the top of a cliff x mts heigh, the angle of depression of the fo...

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  2. A ladder rests against wall at an angle alpha to the harizontal. Its f...

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  3. If the angles of elevation of the top of a tower from three collinear ...

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  4. A ballon is observed simultaneously from the 3 points A,B,C on a staig...

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  5. At the foot of the mountain the elevation of its summit is 45^(@) Afte...

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  6. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  7. The upper 3//4th portion of a vertical pole subteds pole subteds an an...

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  8. A tower MPQ surmounted by a spiral QR stands on a harzontal plane. At ...

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  9. On one side of a road of width 'd' meters there is a points of observa...

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

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  11. There are two stations P,Q due north, due south of a tower of height 1...

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  12. A tower leans towards west making an angle alpha with the vertical. Th...

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  13. A man is walking towards a vertical pillar in a straight path, at a un...

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  14. A bird is sitting on the top of a vertical pole 20 m high and its elev...

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  15. A tower stands at the center of a circular park. A and B are two point...

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  16. A lamp post is sittuated at the middle point M of the side AC of a tri...

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  17. The angle of elevation of a top of a tower from a point A due south of...

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  18. A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...

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

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  20. Let 10 vertical poles standing at equal distances on a straight line, ...

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