Two radio towers are a distance d apart as shown in the overhead view. Each antenna by itself would radiate equally in all directions in a horizontal plane. The radio waves have the same wavelength λ and start out in phase. A detector is moved in a circle all the way around the towers (−180° < θ ≤ +180°) at a distance much greater than λ. The power P measured by the detector is found to vary with the angle θ.

(a) Is the power detected at θ = 0 a maximum or a minimum? Explain, 

(b) For what values of d (in terms of λ) would the power be minimum at θ = 90°?

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-P- 0