The above is the wave form of a water wave which was generated at the left side of the pool and has a constant frequency. The boundary surface between the deep and shallow areas forms a \(45°\) angle with the wave front in the deep area, and a \(30°\) angle with the wave front in the shallow area, as shown above. Let \(f_d\) and \(v_d\) be the frequency and speed of the water wave in the deep area, respectively. Similarly, let \(f_s\) and \(v_s\) be the frequency and speed of the water wave in the shallow area, respectively. What are the ratios \(f_d:f_s\) and \(v_d:v_s?\)

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