Ship A is traveling due west toward Lighthouse Rock at a speed of 15 kilometers per hour (km/hr). Ship B is traveling Ship B due north away from Lighthouse Rock at a speed of 10 km/hr. Let x be the distance between Ship A and Lighthouse Rock at time t, and let y be the distance between Ship B and Ship A Lighthouse Rock at time t, as shown in the figure above. Lighthouse Rock (a) Find the distance, in kilometers, between Ship A and Ship B when = 4 km and y = 3 km. (b) Find the rate of change, in km/hr, of the distance between the two ships when a= 4 km and y = 3 km. (c) Let 0 be the angle shown in the figure. Find the rate of change of 0, in radians per hour, when a = 4 km and y = 3 km.

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