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**Help with Vector problem??**

A river flows due east at 1.50m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.0m/s 35 degrees northwest relative to the water. a) What is the velocity of the boat relative to the shore? b) If the river is 500m wide, how far downstream has the boat moved by the time it reaches the north shore?

Hi, I the answers to this problem is 8.81 @ 139 degrees and 582.8m

I tried to do this, and was successful with finding the velocity of the boat, but for some reason my angle is off. I keep getting 40.63. Can anyone explain to me what I did wrong? And for the second part, I don't have a clue how to start it. Thanks!

I took a picture of my work:

http://tinypic.com/r/2d14k1t/6