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An observer has found the angle of eleva...

An observer has found the angle of elevation of a temple to be `60^@` when observed from a particular place.After retiring back 100m straight from the place he found the angle of elevation to be `30^@`.Find the height of the temple.

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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 from a point in the same horizontal plane is 30^@ .When observed from another point which is 150m straight ahead of the original point on the same plane,the angle of elevation of the top of the temple was 60^@ .Find the height of the temple.

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.

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.

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 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)

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 angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary.Prove that the height of the tower is 6m.

A TV tower stands vertically on a bank of a canal.From a point on the other bank directly opposite the tower,the angle of elevation of the top of the tower is 60^@ .From another points 20 m away from this point on the line joining this point to the foot of the towre,the angle of elevation of the top of the tower is 30^@ (seeFig).Find the height of the tower and the width of the canal.

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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