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A 1.2m tall girl spots a balloon moving ...

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..

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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 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.

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.

A man in a boat moving away from a light house 100m high takes 2 minutes to change the angle of elevation of the top of light house from 60° to 30°,find the speed of the boat.

An aeroplane when flying at a height of 3125mfrom the ground passes vertically below another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 30° and 60° respectively. Find the distance between the two planes at the instant.

The angle of elevation of an aeroplane from a point A on the ground is 60^@ . After a flight' of 30 seconds, the angle of elevation changes to 30^@ . If the plane is flying at a constant height of 3600sqrt3 m , find the speed of the plane in km/hour.

The angle of elevation of the top of a building from the foot of the tower is 30^@ and the angle of elevation of the top of the tower from the foot of the building is 60^@ .If the tower is 50 m high,find the height of the building

The angle of elevation of a jet plane from a point P on the ground is 60°.After a flight of 15 second the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 1500sqrt3 ,find the speed of the jet plane in km/ hr.

From a point on the ground,the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m hihg building are 45^@ and 60^@ respectively.Find the height of the tower.

A 1.5 m tall boy is standing at some distance from a 30 m tall building.The angle of elevation from his eyes to the top of the building increases from 30^@ to 60^@ as he walks towards the building.Find the distance he walked to towards the building.

R G PUBLICATION-SOME APPLICATION OF TRIGONOMETRY-EXERCISE
  1. From the top of a 7 m high building ,the angle of elevation of the top...

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  2. As observed from the top of a 75 m high lighthouse from the sea-level,...

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  3. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

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  4. A straight highway leads to the foot of a tower.A man standing at the ...

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  5. The angles of elevation of the top of a tower from two points at a dis...

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  6. Find the length of a shadow of a vertical post of heigth 6m when the a...

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  7. Find the angle of elevation of then sun when the ratio of the length o...

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  8. Find the angle of elevation of the sun when the ratio of the length of...

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  9. The height of a tower is 10m.What is the length of its shadow when sun...

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  10. A vertical post of height 5sqrt3m above the horizontal ground casts a ...

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  11. The ratio of the length of a pole and its shadow is1:sqrt3.The angle o...

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  12. If the height and length of the shadow of a man are the same,then the ...

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  13. The length of the string of a kite flying at 100 mts above the ground ...

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  14. A tree casts a shadow 4m long on the ground,when the angle of elevatio...

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  15. The length of shadow of a tower on the plane ground is sqrt3 times the...

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  16. A vertical post of height 5sqrt3m above the horizontal ground casts a ...

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  17. What is the angle of elevation of sun when the length of the shadow of...

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  18. The angle of elevation of a post of height 55m as seen from the foot o...

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  19. A ladder 12m long is leaning on a wall.Its foot 6m away from the wall....

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

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