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Question

At certain distance from a transmitting tower, a receiver tower of height 20 m is used to receive direct signal. Another tower is installed beyond the first, along the same line of sight to receive the signals from the same transmitter. Its height is 44% more than the first receiving tower. Then, the separation between the two receiving towers is (Radius of Earth = 6400 km)

A
6.4 km
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B
3.2 km
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C
1.6 km
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D
0.8 km
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Solution

The correct option is B 3.2 km
Dm=2Rht+2Rhr
(Dm)2(Dm)1=2Rhr(1.441)=40×64×105(0.2)=3.2 km.

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