If the height of the TV tower is increased by 21%, then by what percentage will the transmission range of the tower be affected?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 10%
The transmission range of a TV tower is,
$R∝\sqrt{h}$ [h = height of tower]
if the height of the tower is increased by 21%,
$h'=1.21h$
$∴R'\sqrt{h'}=\sqrt{1.21h}=1.1\sqrt{h}$
The transmission range of the tower will increased by 10%.