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The angle of elevation of a temple is fo...

The angle of elevation of a temple is found to be `30^@` as seen from a place.By advancing 50m towards the temple the angle of its elevation is observed to be `45^@`.Find the height of the temple.

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The angle of elevation of the top of a temple when observed from a point on the horizontal line through the foot of the temple is found to be 30^@ .By advancing 200m towards the temple the angle of elevation of the top of the temple is found to be 60^@ .Find the height of the temple.

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The angle of elevation of the top of a tower as observed from a point on the ground is alpha and on moving 'a' metres towards the tower the angle of elevation is beta .Prove that the height of the tower is (atanalphatanbeta) / (tanbeta-tanalpha)

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A statue,1.6m tall,stands on the top of a pedestal.From a point on the ground,the angle of elevation of the top of the statue is 60^@ and from the same point the angle of elevation of the top of the pedestal is 45^@ .Find the height of the pedestal.

The distance between two poles of the same height standing on the same plane is 100m.The angles of elevation of the tops of the two poles from a point lying on the line joining the base-points of the poles are found to be 30^@ and 60^@ respectively.Find the heights of the poles and the position of the point.

The angle of elevation of a post of height 55m as seen from the foot of a man standing on a road is 60^@ .Find the distance of the man from the post.

When observed from a point on the horizontal line passing through the base point of a vertical tower the angle of elevation of the highest point of the tower was found to be 30^@ .If the distance from the tower to the point of observation is 200m,find the height of the tower.

The angle of depression of the top and bottom of a tower are found to be 30^@ and 60^@ respectively when the tower is observed from the top of a hill 100m high.Find the height of the tower.

A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground.The angle of elevation of the balloon from the eyes of the girl at any instant is 60^@ .After some time,the angle of elevation reduces to 30^@ (see Fig 9.13),Find the distance travelled by the balloon during the interval..

R G PUBLICATION-SOME APPLICATION OF TRIGONOMETRY-EXERCISE
  1. A ladder 12m long is leaning on a wall.Its foot 6m away from the wall....

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  2. A ladder is kept standing at a slanting position against a wall of a h...

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  3. If the top of a temple subtends an angle of30^@ at a point on the grou...

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  4. If the top of a temple subtends an angle of60^@ at a point on the grou...

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  5. When a telephone post is broken by a strong wind,its top touches the g...

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  6. A tree of 15 m height was broken due to a heavy wind at a height of h ...

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  7. The angle of elevation of a temple is found to be 30^@ as seen from a ...

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  8. The angle of elevation of the top of a temple when observed from a poi...

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  9. An observer has found the angle of elevation of a temple to be 60^@ wh...

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  10. An observer 1.5m tall is 30metres away from a tower,50m high.Determine...

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  11. From a point which is 200sqrt2m away from the base of a temple the ang...

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  12. The angle of depression of the top and bottom of a tower are found to ...

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  13. An observer standing 72 m away from a building notice that the angles ...

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  14. The horizontal distance between two towers is 30 metres.The top of one...

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  15. The poles of equal height are standing opposite to each other on eithe...

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  16. Two light posts of equal heights stand on either side of a pond which ...

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  17. A man standing on a bank of a river found that the angles of elevation...

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  18. There are two cosecutive kilometre posts on a straight road.From an ae...

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  19. The angles of depression of two consecutive kilometer posts on a strai...

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  20. The height of mobile telephone tower erected on a plane is 20(sqrt3+1)...

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