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A man standing on a bank of a river foun...

A man standing on a bank of a river found that the angles of elevation of a tree on the other bank of the river is`60^@`.By retiring 40m back,he found the angle of elevation to be `30^@`.Find the height of the tree and the breadth of the river.

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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.

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.

The angle of elevation of the top of a tower from a point on the ground,which is 30m away from the foot of the tower,is 30^@ .Find the height of the tower.

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.

An observer standing 72 m away from a building notice that the angles of elevation of the top and the bottom of a flag staff on the building are respectively 60^@ and 45^@ .Find the height of the flag staff.

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.

From the top of a 7 m high building ,the angle of elevation of the top of a cable tower is 60^@ and the angle of depression of its foot is 45^@ .Determine the height of the tower.

Find the length of a shadow of a vertical post of heigth 6m when the angle of elevation of the sun is 30^@

The angle of elevation of the top of a hill at the foot of the tower is 60° and the angle of elevation of the top of a tower from the foot of the hill is 30°.If the tower is 50m high, find the height of the hill.

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.

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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