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Trigonometry

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Two vertical poles 20m and 80 m stands apart on a horizontal plane . The height of the point of the intersection of the lines joining the top of each pole to the foot of the other is
If the angles of the elevation of the top of a tower from three collinear points A,B and C on a line leading to the foot of the tower are 30 degree , 45 degree, 60 degree respectively , the the ratio AB: BC is
A bird is sitting on the top of a vertical pole 20m high and its elevation from a point O on the ground is 45 degree It flies off horizontally straight away from the point O , after 1s , the elevation of the bird from O is reduced to 30 degree . Then the speed (in m/s) of the bird is
A tree stands vertically on a hill side which makes an angle of 15 degree with the horizontal . From a point on the ground 35m down the hill from the base of the tree , the angle of elevation of the top of the tree is 60 degree . the height of the tree is
If sinθ + sin2θ + sin3θ = sinα And cosθ + cos2θ +cos3θ=cosα , then θ is equal to