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A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is `60^@` and where he retires 40 meters away from the tree the angle of elevation becomes `30^@`. The breadth of the river is

A

60 m

B

30 m

C

40 m

D

20 m

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The correct Answer is:
D
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A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^(@) . When he moves 40 meter away from the bank, he finds the angle of elevation to be 30^(@) . Find the height of the tree and width of the river " [take", sqrt(3)=1.732]

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^(@) . When he move 40metres away from the bank, he finds the angle of elevation to be 30^(@). Find the height of the tree and the width of the river.

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^(@) . When he moves 40 m away from the bank, he finds the angle of elevation to be 30^(@) . Find the height of the tree and the width of the river. (sqrt3=1.73)

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^(@) . When he moves 40 m away from the bank, he finds the angle of elevation to be 30^(@) . Find the height of the tree and width of the river. (sqrt3 =1.73)

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45^@ , then which of the following statements is correct ?

Problems based on finding the breadth of the river; exp-1A man standing on the bank of the river observes that the angle subtended by the tree on the opposite bank is 60^(0). When he retires 36m from the bank,he found the angle to be 30^(0). What is the breadth of the river.

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.

OBJECTIVE RD SHARMA-HEIGHTS AND DISTANCES-Exercise
  1. If the elevation of the sun is 30^@ , then the length of the shadow c...

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

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

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

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

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  6. A tower subtends an angle of 30^@ at a point on the same level as the ...

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  7. AB is a vertical pole and C is its mid point. The end A is on the leve...

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  8. The angle of depression of a point situated at a distance of 70 metres...

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  9. The angle of elevation of the top of a vertical tower from two points ...

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  10. An aeroplane flying horizontally , 1km above the ground , is observed...

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  11. At the foot of the mountain the elevation of its summit is 45^@, after...

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  12. At a distance 12 metres from the foot A of a tower AB of height 5 met...

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  13. A tower 50 m high , stands on top of a mount, from a point on the grou...

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  14. A person on a ship sailing north sees two lighthouses which are 6 km a...

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  15. An observer finds that the elevation of the top of a tower is 22.5^@ a...

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  16. A vertical lamp-post, 6m high, stands at a distance of 2 m from a wall...

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  17. The angle of elevation of the top of a vertical pole when observed ...

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  18. The upper (3/4)^(th) portion of a vertical pole subtends an angle "tan...

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  19. A person standing on the bank of a river observes that the angle of el...

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  20. A tower subtends angles alpha,2alpha,3alpha respectively, at point A ,...

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