The maximum distance between the transmitting and receiving TV towers is 64 Km. If the ratio of the heights of the TV transmitting tower to receiving tower is 4:9, the heights of the transmitting and receiving towers are

Given : d = 64 Km , hThR=49  We know, d=2RhT+2RhR ⇒64000=2R49hR+2RhR ⇒64000=2RhR23+2RhR ⇒64000=2RhR23+1 ⇒64000×35=2RhR ⇒64000×35×64000×35=2RhR ⇒64000×64000×925=2×6400×1000×hR ⇒320×925=hR ⇒hR = 115.2 m  ∴ hT=49hR = 49× 115.2  = 51.2 m