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A person standing on the bank of a river observes that the angle subtended by a tree on the opposite of bank is `60^(@)`. When he retires 40 m.from the bank, he finds the angle to be `30^(@)`. What is the breadth of the river ?

A

40 m

B

60 m

C

20 m

D

30 m

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Verified by Experts

The correct Answer is:
C
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A person standing on the bank of a river observes that the angle subtended by a tree on the opposite of bank is 60^(@) . when he returns 40 m from the bank, he finds the angle to be 30^(@). What is the breadth of the river?

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A person standing on the bank of a river observers that the angle subtends by a tree on the opposite bank is 60^(@) . When he retires 40 feet from the bank, he finds the angle to be 30^(@) . Find the height of the tree and the breadth of the river.

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60^(@) , when he retreats 40m from the bank he finds the angle to be 30^(@) . Find the height of the tree and the breadth of the river.

OBJECTIVE RD SHARMA-HEIGHTS AND DISTANCES-Exercise
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  2. Form the top of a light house 60 m high with its base at the sea-level...

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  3. A person standing on the bank of a river observes that the angle subte...

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  4. AB is a vertical pole. The end A is on the level ground .C is the midd...

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  5. A tree is broken by wind, its upper part touches the ground at a point...

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  6. An aeroplane flying at a height 300 metre above the ground passes vert...

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  7. A tower subtends an angle alpha at a point in the plane of its base a...

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

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  9. From an aeroplane vertically over a straight horizontal road, the angl...

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  10. A vertical tower stands on a declicity which is inclined at 15^@ to th...

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  11. The angle of elevation of an object on a hill from a point on the grou...

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  12. A tower of x metres height has flag staff at its top. The tower and th...

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  13. .A house of height 100 m substends a right angle at the window of an o...

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  14. A tower of height b substends an angle at a point O on the leavel of t...

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  15. A man of height 6 ft. observes the top of a tower and the foot of th...

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  16. If the elevation of the sun is 30^@ , then the length of the shadow c...

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  17. A ladder rests against a vertical wall at angle alpha to the horizonta...

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  18. From the top of a cliff 300 metres high, the top of a tower was obser...

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  19. The angles of elevation of the top of a tower at the top and the foot ...

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  20. A person standing on the bank of a river finds that the angle of elev...

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