Two Boats Leave A Dock At The Same Time. One Boat Travels South At 60 Mi/Hr And The Other Travels East At 32 Mi/Hr. After Half An Hour, How Fast Is The Distance Between The Boats Increasing? Let X Be The Distance The Eastbound Boat Has Traveled, Y Be The Distance The Southbound Boat Has Traveled, And Z Be The Distance Between The Boats. Write An Equation

 

Two boats leave a dock at the same time. One boat travels south at 60 mi/hr and the other travels east at 32 mi/hr. After half an hour, how fast is the distance between the boats increasing? Let x be the distance the eastbound boat has traveled, y be the distance the southbound boat has traveled, and z be the distance between the boats. Write an equation that relates x, y, and z. Differentiate both sides of the equation found in the previous step with respect to t. dz dt (Do not simplify.) dx dy D After half an hour, the distance between the boats is increasing at mi/hr.