Waves propagating towards the east encounter a shoal as shown by the curved line where the water depth suddenlyr decreases from 60 m to 30' m. Two parallel wave rays are shown with arrows, separated by a north-south distance of 200 m. The line normal to the depth transition is shown for one of these rays as a dashed line. The incident rays make an angle 31 = 50 with the normal lines. The water density is 1025 kg m'3. When they are travelling in the area of water depth 60 In, the period of the waves is 20 seconds, and the).r have an amplitude of 2 m. Within the domain shown above, you may assume that the waves behave according to the shallow water limit of their dispersion relationship