Q.1) The angles of elevation of the top of a tower from two points at distances and metres from the base and in the same straight line with it are complementary, prove that the height of the tower is metres.
(5 Marks)
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Q.2) From the top of the hill, the angles of depression of two consecutive kilometer stones due east are found to be and . Find the height of the hill. (5 Marks)
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Q.3) Two pillars of equal height are on either side of a road, which is 100 m wide. The angles of elevation of the top of the pillars are and at a point on the road between the pillars. Find the position of the point between the pillars and the height of each pillar. (5 Marks)
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Q.4) A round balloon of radius subtends an angle at the eye of the observer while the angle of elevation of its centre is . Prove that the height of the centre of the balloon is . (5 Marks)
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