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Height and Distance

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  1. 1.A tower stands at the centre of a circular park.
  2. 2.AB is a vertical pole with B at the ground level and A at the top.
  3. 3.ABCD is a trapezium such that AB and CD are parallel and [BC CD.] If [ ADB = ,,BC = p] and…
  4. 4.A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O…
  5. 5.If the angles of elevation of the top of a tower from three collinear points A, B and C, o…
  6. 6.A man is walking towards a vertical pillar in a straight path, at a uniform speed.
  7. 7.The angle of elevation of the top of a vertical tower from a point A, due east of it is 45…
  8. 8.Let a vertical tower AB have its end A on the level ground.
  9. 9.PQR is a triangular park with PQ = PR = 200 m.
  10. 10.A tower T1 of height 60 m is located exactly opposite to a tower T2 of height 80 m on a st…
  11. 11.An aeroplane flying at a constant speed, parallel to the horizontal ground, [ 3 ] kmabove …
  12. 12.A man on the top of a vertical tower observes a car moving at a uniform speed towards the …
  13. 13.ABC is a triangular park with AB = AC = 100 metres.
  14. 14.Consider a triangular plot ABC with sides AB = 7m, BC = 5m and CA = 6m.
  15. 15.The angle of elevation of the top of a vertical tower standing on a horizontal plane is ob…
  16. 16.If the angle of elevation of a cloud from a point P which is 25 m above a lake be 30o and …
  17. 17.Two vertical poles of heights, 20 m and 80 m stand a part on a horizontal plane.
  18. 18.Two poles standing on a horizontal ground are of heights 5m and 10 m respectively.
  19. 19.The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30^.
  20. 20.The angle of elevation of the summit of a mountain from a point on the ground is 45^.
  21. 21.A pole stands vertically inside a triangular park ABC.
  22. 22.Let in a right angled triangle, the smallest angle be [].
  23. 23.The angle of elevation of a jet plane from a point A on the ground is 60[^].
  24. 24.Two vertical poles are 150 m apart and the height of one is three times that of the other.
  25. 25.A man is observing, from the top of a tower, a boat speeding towards the lower from a cert…
  26. 26.A spherical gas balloon of radius 16 meter subtends an angle 60[^] at the eye of the obser…
  27. 27.Two poles, AB of length a metres and CD of length a + b (b [] a) metres are erected at the…
  28. 28.A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on …
  29. 29.Let a vertical tower A B of height 2 h stands on a horizontal ground.
  30. 30.Let AB and PQ be two vertical poles, 160 m apart from each other.
  31. 31.From the top [A] of a vertical wall [AB] of height [30 ~m], the angles of depression of th…