SOME APPLICATIONS OF TRIGONOMETRY
Chapter 9: SOME APPLICATIONS OF TRIGONOMETRY · MATHEMATICS · EN medium
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and the distance between the two buildings is also m. Example : From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are ° and °, respectively. If the bridge is at a height of m from the banks, find the width of the river. Solution : In Fig . , A and B represent points on the bank on opposite sides of the river, so that AB is the width of the river. P is a point on the bridge at a height of m, i.e., DP = m. We are interested to determine the width of the river, which is the length of the side AB of the D APB. AB = AD + DB In right APD, A = °. tan ° = PD AD Fig. . = AD or AD = m Also, in right PBD, B = °. So, BD = PD = m.
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and the distance between the two buildings is also m. Example : From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are ° and °, respectively. If the bridge is at a height of m from the banks, find the width of the river. Solution : In Fig .
, A and B represent points on the bank on opposite sides of the river, so that AB is the width of the river. P is a point on the bridge at a height of m, i.e., DP = m. We are interested to determine the width of the river, which is the length of the side AB of the D APB. AB = AD + DB In right APD, A = °.
tan ° = PD AD Fig. . = AD or AD = m Also, in right PBD, B = °. So, BD = PD = m.
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