Two independent radio towers (which may or may not be in phase with each other)

Question

Two independent radio towers (which may or may not

be in phase with each other) transmit radio waves with

a wavelength of 200 m. The towers transmit these

waves to two islands (Ogakor and Kucha), which

always receive a constant constructive interference

signal. Both of the islands are located at angle ? with

respect to the centerline (but on opposite sides of the

centerline).

Ogakor Island is 11,843 meters from Tower B and

11,343 meters from Tower A. Kucha Island is

12,512 meters from Tower A and 12,012 meters from

Tower B. The distance, d, between the two towers is

unknown but it is much less than the distances given

above.

Explanation / Answer

a) PLD = 11843-11343 = 500
PLD/wavelength = 500/200 = 2.5

b)
phase difference must me a multiple of 2 pi
since both constructive
PLD for kucha PLD = 12512-12012= 500 m
PLD/wavelength = 500/200 = 2.5

so difference from one side to the other is 5
so 5*2pi = 10 pi

c) if half integer is constructive
then in middle destructive

d) so it goes from 2.5 on one sides to 2.5 on the other

so minima at 2,1,0,1,2

so 5 minima

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