Posted by bryan on Sunday, February 3, 2013 at 12:57pm.
A is angle in radians between perpendicular to shore at P (length 3 ) and light at shore (x which is 1 at start).
tan A = x/3
dA/dt = w = rad/sec = 4* 2 pi/60 = .419 rad/s
dx/dt = 3 d tan A /dt
dx/dt = (3/sec^2 A) dA/dt
dx/dt = 1.26 /sec^2 A = 1.26 cos^2 A
at x = 1, tan A = 1/3
so A = 18,43 deg
so cos A = .949
1.26 cos^2 A = 1.13 km/s
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