• # question_answer By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 21%?

The transmission range, $d=\sqrt{2R{{h}_{T}}},$ where ${{h}_{T}}$ is the height of transmission tower. If new height, i.e. ${{h}_{T}}'={{h}_{T}}+0.21\,{{h}_{T}}=1.21\,{{h}_{T}},$ then New transmission distance,             $d'=\sqrt{2R.(1.21{{h}_{T}})}=1.1\sqrt{2R{{h}_{T}}}$             = 1.1d $\therefore$ Percentage increase in transmission range $=\frac{d'-d}{d}\times 100=\frac{1.1d-d}{d}\times 100%=10%$