wow -- a lighthouse that rotates! usually it's just the light!
On shore, consider the lighted sand that is x km from the spot on shore nearest the lighthouse.
tanθ = x
sec^2θ dθ/dt = dx/dt
4*10pi = dx/dt
dx/dt = 40pi km/min
a lighthouse is 1 km from the shoreline and revolves at 10 pi radians a minute what is the speed of the light as it sweeps across the shore as it lights up at sand at 2 km from the light house
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