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Question
By what percentage will the transmission ranges of TV tower be affected when the height of the tower is increased by 21%?
Solution
`d_T = sqrt(2Rh_T)`
Let the transmission of the tower before transmission be = `vecd_(T_1)`
Range after increase in height =`d_(T_2)`
Ratio = `(d_(T_1))/d_(T_2) = sqrt((2Rh_(T_2))/(2Rh_(T_1))) = sqrt(h_(T_2)/h_(T_1))`
Height increase = 21%
Thus,`121/100 h_(T_1 = h_(T_2)`
`(d_(T_2))/(d_(T_1)) = sqrt((121h_(T_1))/(100 h_(T_1))` = 1.1
`d_(T_2) :d_(T_1) 11:10`
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