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Mohit, standing in the midst of a field, observes a flying birds in his north at an anlge of elevation of `30^@` and after 2 minutes he observes the birds in his south at an angle of elevation of `60^@`. If the bird flies in a straight line all along at a height of `50sqrt3` metres then find its speed in `km//hr`.

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A man standing in the midst of a field observes, a flying bird in his north at an angle of elevation of 30^@ and after 2.5 minutes he observes the bird in his south at an angle of elevation of 60^@ . If the bird flies in a straight line all along at a height of 60sqrt3 metres, what is its speed?

Monu standing in the midst of a field, observes a flying bird in his north at an angle of elevation of 30^(@) and after 2 minutes he observer the bird in his south at an angle of elevation of 60^(@) . If the bird flies in a straight line all along at a height of 50sqrt(3) metres, find its speed in kilometre per hour.

Narayan, standing in the midst of a field, observes a flying bird in his north at an angle of elevation of 30^@ and aft er 21 minutes he observes the bird in his south at an angle of elevation of 60^@ . If the bird flies in a s traight line all a height of 50sqrt3 metres, then find its speed in metre per minuts.

The angle of elevation of a jet plane from a point on the ground is 60^@ . After a flight of 15 seconds, the angle of elevations changed to 30^@ . If the jet plane is flying horizontally at a constant height of 1500sqrt3 metres, find the speed of the jet plane.

A man standing on a railway bridge 5sqrt3 meters high, observes the engine of a train at an angle of depression 30^@ . But after 2 seconds, he observes the engine at an angle of depression 45^@ on the other side of the bridge. Find the speed of the train.

The angle of elevation of a jet plane from a point A on the ground is 60^(@) . After a flight of 15 seconds, the angle of elevation changes to 30^(@) . If the jet plane is flying at a constant height of 1500sqrt3 meter, find the speed of the jet plane. (sqrt3 = 1.732)

A man, standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60^@ But the angle off elevations is 30^@ from a point at a distance y metres from the bank. Show that the height of tree h= sqrt(3y)/2.

A man standing on a railway overbirdge of 5sqrt3 m height observed the engine of the train from one side of the bridge at an angle of depression of 30^@ . But just after 2 seconds, he observed the engine at an angle of depression of 45^@ from the other side of the bridge. Find the speed of the train.

From the bottom of a 'tila' the angle of elevation of its unreachable top is 45^@ . After moving 100 metre at an angle of 30^@ along the tila the angle of elevation becomes 60^@ . Find the height of the tila. (sqrt3= 1.732)

From the bottom of a 'tila' the angle of elevation of its unreachable top is 45^@ . After moving 100 metre along the 'tila' the angle of elevation becomes 60^@ . Find the height of the tila? [sqrt3 = 1.732]

UNITED BOOK HOUSE-PATRASAYER BAMIRA GURUDAS INSTITUTION, BANKURA-EXERCISE
  1. If 1/x-1/y alpha 1/(y-x), show that x alpha y.

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  2. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

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  3. If x/(y+z)=y/(z+x)=z/(x+y) prove that the value of each ratio is eithe...

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  4. State and prove Pythagoras theorem.

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  5. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  6. O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2.

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  7. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

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  8. Geometrically calculate the value of sqrt(23). (Only traces of constru...

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  9. Draw a triangle whose one of the side is 7.2 cm and adjacent angles of...

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  10. Sum of two angles is 135^@ and their difference is pi^c/12. Find the s...

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  11. If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta.

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  12. If sin 17^@ = x/y show that sec 17^@-sin 73^@ = x^2/(ysqrt(y^2-x^2).

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  13. From a point on the roof of five storied building the angle of elevati...

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  14. Mohit, standing in the midst of a field, observes a flying birds in hi...

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  15. The curved surface of a solid metalic sphere is cut in such a way tha...

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  16. A right circular cylindrical tank of 9 metre height is filled with wat...

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  17. Half of the cuboidal water tank with length 2.1m and breadth of 1.5m i...

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  18. find the median of the following frequency distribution

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  19. Find the mode of the following frequency distribution.

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  20. Draw an ogiove (less than type) from the given data.

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