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ICSE Class 10 Answered

Two people standing on the same side of a tower in a straight line with it, measure the angles of elevation of the top of the tower as 25° and 50° respectively. If the height of the tower is 70 m, find the distance between the two people.
Asked by venkatesh.keshavamurthy | 16 Aug, 2019, 11:42: PM
answered-by-expert Expert Answer
TO space be space the space tower TO space equals space 70 space straight m let space straight A space and space straight B space be space the space positions space of space two space people in space increment AOT tan space 50 space equals space TO over AO AO equals fraction numerator 70 over denominator tan space 50 end fraction in space increment AOT tan space 25 space equals space TO over OB OB equals fraction numerator 70 over denominator tan space 25 end fraction distance space between space the space persons AB space equals space fraction numerator 70 over denominator tan space 50 end fraction plus fraction numerator 70 over denominator tan space 25 end fraction... substitute space tan space values space from space tan space tables space provided AB space equals space 70 open parentheses fraction numerator 1 over denominator 1.1917 end fraction plus fraction numerator 1 over denominator 0.4663 end fraction close parentheses... simplify
Answered by Arun | 19 Aug, 2019, 01:33: PM

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