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A boy standing on a horizontal plane fin...

A boy standing on a horizontal plane find that angle of elevation of a bird 100 meter away from him at `30^(@)`. A girl standing at a house 20 meter above the plane find that elevation of the bird is `45^(@)`. If boy and girl are in the opposite direction find the distance between the bird and the girl.

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A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elevation of 30^@. A girl standing on the roof of 20 metre high building, finds the angle of elevation of the same bird to be 45^@. Both the boy and the girl are on opposite sides of the bird. Find the distance of bird from the girl.

A vertical flagstaff stands on a horizontal plane. From a point 100 m from its foot, the angle of elevation of its top is found to be 45^(@) . Find the height of the flagstaff.

A person standing at a distance of 90 m from a church observes the angle of elevation of its top to be 45^(@) . Find the height of the chruch .

A bird is sitting on the top of a 80 m high tree. From a point on the ground, the angle of elevation of the bird is 45. The bird flies away horizontally in such a way that it remained at a constant height from the ground. After 2sec the angle of elevation of the bird from the same point is 30. Find the speed of flying of the bird.

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 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

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From a window ( h meter above ground) the angle of elevation of other house is theta and angle of depression is phi. Find the height of the house.

A vertical tower stands on a horizontal plane, and from a point on the ground at a distance of 30 metres from the foot of the tower , the angle of elevation is 60^@ . The height of the tower is

AGRAWAL PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS-EXAMPLE
  1. A vertical tower stands on a horizontal plane and is surmounted by a v...

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  2. From a point on the ground, the angles of elevation of the bottom and ...

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  3. A boy standing on a horizontal plane find that angle of elevation of a...

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  4. If sin theta + cos theta = p and sec theta + cosec theta = q, then pro...

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  5. The angle of elevation of an aeroplane from a point A on the ground is...

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  6. Prove that: [(1 + cot theta + tan theta)(sin theta - cos theta)]/(sec^...

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  7. If sec theta + tan theta = m, show that (m^2 - 1)/(m^2 + 1)= sin theta...

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  8. A moving boat is observed from the top of a 150 m high cliff moving aw...

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  9. A ladder rests against a vertical wall at an inclination alpha to the ...

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  10. There are two poles, one each on either bank of a river just opposite ...

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  11. Amit, standing on a horizontal plane, finds a bird flying at a distanc...

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  12. Prove that: (tan theta)/(1 - cot theta) + (cot theta)/(1 - tan theta) ...

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  13. The lower window of a house is at a height of 2 m above the ground and...

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  14. Prove that: (sin theta)/(cot theta + cosec theta) = 2 + (sin theta)/(c...

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  15. Prove that (sin A - cos A + 1)/(sin A + cos A - 1) = 1 /(sec A - tan A...

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  16. A man in a boat rowing away form a light house 100 m hight takes 2 min...

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  17. Two poles of equal heights are standing opposite each other on either ...

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  18. The shadow of a tower at a time is three times as long as its shadow w...

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  19. Prove that: (sin A - 2sin^3 A )/(2 cos^3 A - cos A) = tan A

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  20. A straight highway leads to the foot of a tower. A man standing on its...

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