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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 .

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Two poles of equal heights are standing opposite 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 and the distances of the point from the poles.

The poles of equal height are standing opposite to each other on either side of a road which is 100meters wide.From a point between them on the road,the angle of elevation of the tops are 30^@ and 60^@ .Find the position of the point and also the height of the poles.

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.

Two light posts of equal heights stand on either side of a pond which is 100meters wide.From a boat in the pond between the posts the elevation of the tops of the post are found to be 60^@ and 30^@ .Find the height of the posts and the position of the posts.

There are two poles on each on either bank of a river just opposite to each other.One pole is 60m high.From the top of this pole the angles of depression of the top and the foot of the other pole are 30° and 60° respectively. Find the width of the river and the height of the other pole.

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 building 60m high the angle of depression of the top and the bottom of vertical lamp post an observed 30° and 60 ° respectively.Find The height of the lamp post.

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 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 man sitting at a height of 20m in a tall tree on a small island in the middle of the river observes two poles directly opposite each other on the two banks of river and in line with the foot of the tree. If the angles of depression of the feet of the poles from a point at which the man is sitting on the three on either side of the river are 60° and 30° respectively. Find the width of the river.

KALYANI PUBLICATION-ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS-EXERCISE
  1. Two poles of equal heights are standing opposite to each other on eith...

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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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