If the height of the transmitting tower is increased by $30 \%$, then the area covered by it increases by

If the height of the transmitting tower is increased by $30 \%$, then the area covered by it increases by
  1. 10\%
  2. $21 \%$
  3. $30 \%$
  4. $60 \%$

Solution

Area covered by a transmission tower of height $h$ is $\begin{aligned} & A=2 \pi R h \\ \Rightarrow \quad & A \propto h \end{aligned}$ So, if height is increased by $30 \%$, area of coverage also increase by $30 \%$.

Asked in: AP EAMCET 2018 (23 Apr Shift 2)

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