Stream Crossing
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Alice swims across a stream of width d = 300 ft.
The stream flows from west to east with current speed v_{C}
of 10 ft / minute.
If there were no current, as in a pool or a lake, Alice would swim with speed
v_{A} of 20 ft / minute, in the direction indicated in the picture above,
f = 20 degrees.
Find the position x_{o} along the xaxis where she will come out across the
stream. Note that
f is the angle between the yaxis and the swimmer's velocity
east (downstream) is defined as positive x, west (upstream) is defined as negative x
For example, the xcomponent of the velocity pointing east is positive, and
the xcomponent of the velocity pointing west is negative.
If you enter an expression, use degrees as arguments for sin and cos, rather than radians.
x_{o} = ft
