Putting this value in (2), we get
Chapter 9: SOME APPLICATIONS OF TRIGONOMETRY · MATHEMATICS · EN medium
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= x + , i.e., x = x + x = h = [From ( )] Therefore, the height of the tower is m. Example : The angles of depression of the top and the bottom of an m tall building from the top of a multi-storeyed building are ° and °, respectively. Find the height of the multi- storeyed building and the distance between the two buildings. Solution : In Fig. . , PC denotes the multi- storyed building and AB denotes the m tall building. We are interested to determine the height of the multi-storeyed building, i.e., PC and the distance between the two buildings, i.e., AC. Look at the figure carefully. Observe that PB is a transversal to the parallel lines PQ and BD.
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= x + , i.e., x = x + x = h = [From ( )] Therefore, the height of the tower is m. Example : The angles of depression of the top and the bottom of an m tall building from the top of a multi-storeyed building are ° and °, respectively. Find the height of the multi- storeyed building and the distance between the two buildings. Solution : In Fig.
. , PC denotes the multi- storyed building and AB denotes the m tall building. We are interested to determine the height of the multi-storeyed building, i.e., PC and the distance between the two buildings, i.e., AC. Look at the figure carefully.
Observe that PB is a transversal to the parallel lines PQ and BD. Therefore, QPB and PBD are alternate angles, and so are equal.
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