Two radio antennas (on a North-South line) separated by 214 msimultaneously tran

Question

Two radio antennas (on a North-South line) separated by 214 msimultaneously transmit identical signals at the samewavelength. A radio car traveling due North at a distnace of886 m due East of the antennas receives the signals. The caris at a position 363 m North (from a line perpendicular to themid-point between the two antennas), at the second maximumfrom the central maximum.

CAUTION: The angle may not be small.

GIVEN: The distance from the car to the north tower isd1 and the distnace from the car to the south tower isd2. What is the correct expression for the pathlength distance = d2 - d1, when thecar is at a maximum in signal strength, where m is an integer?

Explanation / Answer

y=Lm/d (214/2+363) = (886)(2)/(214) 470=8.28 =461.7m =m =2(461.7m) 923.44m

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