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A man sitting at a height of 20m in a ta...

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.

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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.

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 .

Fom a window 60m high above the ground of a house in a street ,angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 60° and 45° respectively. Show that the height of the opposite house is 60(1+sqrt 3)m

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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 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.

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 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.

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

KALYANI PUBLICATION-ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS-EXERCISE
  1. A man sitting at a height of 20m in a tall tree on a small island in t...

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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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