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A person in aballoon, who has ascended verticallly from flat land at the sea level, observes the angle of depression of a ship at anchor to be `30^(@)`. After descending verticallly 600 metres, he finds the angle of depression to be `15^(@)`. The horizontal distance of the ship from the foot of ascent in metres is

A

`300(3+sqrt3)`

B

`300(3+2sqrt3)`

C

`150(3+2sqrt3)`

D

`150(3-2sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET (EXERCISE - II ) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
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  4. A sphere of radius 'a' subtends an angle 60^(@) at a point P. Then the...

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  5. The elevation of a tower due north of a station A is alpha and at anot...

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  6. An aeroplane is moving one kilometer high from west to east horizontal...

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  7. A spherical balloon of radius 5 subtends an angle 60^(@) at a point on...

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  8. A person in aballoon, who has ascended verticallly from flat land at t...

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  9. A sperical balloon of radius r subtends an angle alpha at the eye of a...

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  10. Two pillars are 120 ft a part and the height of one in double that of ...

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  11. Two vertical poles 20m and 80m heigh stand apart on a horizontal plane...

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  13. A flag staff of height 10 metres is placed on the top of a tower of he...

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

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  15. A Tower stands at the centre 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. A ladder rests against wall at an angle alpha to the harizontal. Its f...

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

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