1.

The maximum distance between the transmitting and receiving TV towers is 65km . If the ratio of the heights of the TV transmitting tower to receiving tower is 36:49, the heights of the transmitting and receiving towers respectively are (radius of earth = 6400km)

Answer»

51.2 m,80m
70.3m,95.7m
30m, 65m
25m.75m

Solution :Here , `(h_T)/(h_R)=(36)/(49)`

` d_("MAXIMUM")= sqrt(2Rh_T)+sqrt(2h_R)`
or `65= sqrt(2Rh_T)+ sqrt(2 Rh_R)`………(i)
From Eqs. (i) and (ii) we get
`h_(T)=70.3 m`
and `h_(R)=95.7 m`


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