SOLUTION: A boat heads directly across a river at 8 mi/h. The river flows downstream at 10 mi/h. Find the resulting speed and direction of the boat.

Question 445533: A boat heads directly across a river at 8 mi/h. The river flows downstream at 10 mi/h. Find the resulting speed and direction of the boat.
Found 2 solutions by jorel1380, Alan3354:
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
(8)2+(10)2=x2
64+100=x2
x2=164
x=√164=√4√41=2√41mph cross-wise..
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A boat heads directly across a river at 8 mi/h. The river flows downstream at 10 mi/h. Find the resulting speed and direction of the boat.
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The direction of the boat wrt its heading is arctan(10/8)
=~ 51 degs
That is, if the boat heads directly across, its path makes an angle of 51 degs with the line perpendicular to the shore.

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