Two sources, X and Y, produce electromagnetic waves with matching wavelengths. The waves from X and Y are emitted with a phase difference of $180^{\circ}$. A detector is moved along a route parallel to the line XY, where it records a sequence of intensity maxima and minima. The diagram illustrates the positions of the sources and the detector path. An intensity maximum is found at point Z. The distance XZ is $70\ \text{cm}$ and the distance YZ is $110\ \text{cm}$. What could be a possible wavelength of the waves?
- A$10\ \text{cm}$
- B$16\ \text{cm}$
- C$20\ \text{cm}$
- D$40\ \text{cm}$