The maximum distance between the transmitting and receving TV towers is `72 km`. If the ratio of the heights of the TV transmitting tower to receiving tower is `16 : 25`, the heights of the transmitting and receiving tower are

Options

A. `51.2m`, `80m`
B. `40 m` , `80 m`
C. `80 m`, `125 m`
D. `25 m` , `75 m`

Answer

C

Explanation

`(h_(t))/(h_(r))=(16)/(25)`, `d=sqrt(2Rh_(t))+sqrt(2Rh_(r))`
`72xx10^(3)=sqrt(2R(16)/(25)h_(r))+sqrt(2Rh_(r))`
`impliesh_(r)=125m` & `h_(t)=80m`