At noon, ship a is 150km west of ship b. ship a is sailing east at 35 km/h and ship b is sailing north at 25 km/h. how fast is the distance between the ships changing at 4 pm

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would i just take \[\Delta y / \Delta x \]

you want dr/dt; so implicit this thing with respect to time..
your formula is the pythag thrm

your dy/dt, or rather the d'north'/dt = 25; and d'e'/dt = 35

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