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The angle of elevation of the top of a h...

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.

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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 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 man standing on the deck of a ship which is 10 m above the water level, observes the angle of elevation of the top of a hill as 60° and angle of depression of the base of a hill as 30°. Calculate the distance of the hill from the ship and the height of the hill.

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.

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

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.

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.

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.

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 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)

KALYANI PUBLICATION-ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS-EXERCISE
  1. The angle of elevation of the top of a hill at the foot of the tower i...

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  2. Solve by the method of elimination: 5x-3y=1, 2x+5y=19

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  3. Solve by the method of elimination: 3x+4y=7, 5x-8y=8

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  4. Solve by the method of elimination: 5x-3y=16, 3x-y=12

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  5. Solve by the method of substitution: 2x+3y=31, 17x-11y=8

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  6. Solve by the method of substitution: ax+by=1, bx+ay=(a+b)^2/(a^2+b^2...

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  7. Solve by the method of substitution: x+y=a+b, ax-by=a^2-b^2

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  8. Solve by the method of cross multiplication: 8x+3y=1, 7x+4y=-6

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  9. Solve by the method of cross multiplication: 2x+y=35, 3x+4y=65

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  10. Solve by the method of cross multiplication: ax+by=a-b, bx-ay=a+b

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  11. Solve by any method: (xy)/(x+y)=6/5, (xy)/(y-x)=6

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  12. Solve by any method: (x+y)/(xy)=1, (x-y)/(xy)=65

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  13. Solve by any method: x+2y=1.3, 3/(2x+5y)=1

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  14. Solve by any method: 31x+43y=117, 43x+31y=105

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  15. Solve by any method: 148x+231y=527, 231x+148y=610

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  16. Solve by any method: ax+by=c, bx+ay=1+c

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  17. Solve by any method: x+5y=36, (x+y)/(x-y)=5/3

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  18. Solve by any method: x-y=0.9, 11/(2(x+y))=1

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  19. Solve by any method: x/a+y/b=a+b, x/a^2+y/b^2=2

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  20. Solve by any method: x/a+y/b=2, ax-by=a^2-b^2

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  21. Word Problem of Numbers A number between 10 and 100 is equal to eigh...

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