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if the height of a tower & the distance of the point of observation from its foot, both are increased by 15%. then the angle of elevation of its top remains unchanged. is it true? justify

Answer :

TanФ = BC
           AC

BC*15
    100

3BC
20

BC + 3BC
         20
20BC + 3BC   =      23BC             --------------1
       20                    20

Similarly,

23AC
  20

TanФ = 23BC
               20  
             23AC
                20

TanФ = BC
            AC
Hence Justified.
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