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The shadow of a tower standing on a leve...

The shadow of a tower standing on a level ground is found to be 40m longer when the sun altitude is 30°, then when it is 60° . Find the height of the tower.

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The angle of elevation of the top of a tower at a point on a level ground is 30°.After walking a distance of 100mtowards the foot of the tower along the horizontal line through the foot of the tower on the same level ground, the angle of elevation of the top of the tower is 60°.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.

When the altitude of the sun is 30^@ the length of the shadow of a minaret on the ground is 30m .When the altitude of the sun is 60^@ ,find the length of the shadow of the minaret.

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.

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 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.

The height of a telephone tower erected on a plane is 20(sqrt3+1) m.When the altitudes of the sun is 30^@ and 45^@ ,the lengths of the shadwos of the tower on the plane are x m and y m respectively.Show that x-y=40m.

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.

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long.Find the height of the tower.

A tower makes an angle of 60^@ at a point P lying in the same plane. From a point Q which is at a vertical distance of 10m from P, the angle of depression of the floor of the tower is 30^@ .Find the height of the tower.

KALYANI PUBLICATION-HEIGHT AND DISTANCE-EXERCISE
  1. The shadow of a tower standing on a level ground is found to be 40m lo...

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

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  3. The angle of elevation of the top of a hill at the foot of the tower i...

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  4. A tree breaks due to storm and the broken part bends so that the top o...

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

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  6. The angle of elevation of the top of a tower at a point on a level gro...

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  7. As observed from the top of a light house, 100m high above sea level, ...

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  8. The angle of elevation of the top of a tower as observed from a point ...

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  9. A man in a boat moving away from a light house 100m high takes 2 minut...

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  10. A man sitting at a height of 20m in a tall tree on a small island in t...

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  11. A boy standing on a horizontal plane find a bird flying at a distance ...

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  12. An aeroplane when flying at a height of 3125mfrom the ground passes ve...

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  13. From the top of a building 60m high the angle of depression of the top...

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  14. From the top of a building 60m high the angle of depression of the top...

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  15. A man is standing on the deck of a ship which is 25m above water level...

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  16. A man standing on the deck of a ship which is 10 m above the water lev...

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  17. From a window h m high above the ground in a street, the angles of ele...

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  18. If the angle of elevation of a cloud from a point h metre above the la...

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  19. The angle of elevation of a jet plane from a point P on the ground is ...

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  20. There are two poles on each on either bank of a river just opposite to...

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  21. From the top of a building 100m high ,the angle of depression of the t...

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