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A man in a boat moving away from a light...

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.

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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.

A man is standing on the deck of a ship which is 25m above water level. He observes the angles of elevation of the top of a lighthouse as 60° and the angle of depression of the base of light house as 45°.Calculate the height of the light house.

An observer 1.5m tall is 30metres away from a tower,50m high.Determine the angle of elevation from his eyes to the top 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.

Two pillars of equal height stand on either side of a road which is 150m wide. At a point on the road between the pillars the angle of elevation of the top of the pillars are 60° and 30°. Find the height of each pillar and the position of the point on the road.

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.

Two poles of equal heights are standing opposite to each other on either side of the road which is 80m wide. From a point between them on the road the angles of elevation of the top of the poles are 60° and 30° respectively. Find the height of the poles .

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 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 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.

KALYANI PUBLICATION-ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS-EXERCISE
  1. A man in a boat moving away from a light house 100m high takes 2 minut...

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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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