SOLUTION: a river runs directly east at 1.28 miles hour. if a swimmer can swim at the rate of 1.75 miles hour in still water and he starts swimming north directly across the river, in what d

Question 1034335: a river runs directly east at 1.28 miles hour. if a swimmer can swim at the rate of 1.75 miles hour in still water and he starts swimming north directly across the river, in what direction is he actually moving? where does he hit the opposite bank if the river is one mile wide?
In which direction should the swimmer head in order to reach a point directly across the river?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this and the tangent of the angle, 1.28/1.75, will give the angle east of north.
The value of the fraction is 36.18 degrees, and that is the bearing.
1.75/1.28 is same as 1/x
1.75x=1.28
x=0.731 miles downstream.
================
The resultant in the third part is the swimmer's motion.
Now, it is the sine of the angle which is west of north.
That is 1.28/1.75-0.7314
sin(-1) of that is 47 degrees. The bearing would be 313 degrees or almost exactly northwest.
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