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How fast is the distance from the boat to the lighthouse increasing one hour later?
At noon a boast is 15 miles due north of a lighthouse. The boat is moving east at 20 miles per hour.
Let c = distance of boat from the light house at any time t
c^2 = 15^2 + (20t)^2
c = √(225 + 400t^2)
dc/dt = 400(2)(1)/[(2)(√225 + 400t^2)]
at t = 1,
dc/dt = 800/[(2)(√225 + 400)]
dc/dt = 16 mi/hr ANSWER
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