Posted by **ana** on Thursday, July 10, 2014 at 8:56am.

A boat is moving 24.4m/s, 35 degrees North of East against the 10m/s water current that flows towards south. What would be the speed of the boat as it crosses the river

- Physics -
**Steve**, Thursday, July 10, 2014 at 11:05am
If we let +x be eastward, we have

<19.98,13.99> or, approximately

<20,14>

Add that to <0,-10>

and the resultant velocity is

<20,4>

The (eastward) speed with which the boat is crossing the river is 20m/s.

Not sure whether I interpreted your language correctly, as it is somewhat ambiguous. If I got it wrong, fix the numbers and follow the steps.

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