A firecracker explodes into three parts. A 6.02g portion goes directly East at 1.46m/s and a 4.76g portion flies directly South at 1.59m/s. What is the direction of the third portion which has a mass of 4.22g?

Answer 4.96x10^1 Degrees W of N

I have worked this question out myself and come up with 49.26818444 Degrees W of N. I'm off by a very small amount but I'm not sure if I did something wrong.

My work is shown on the attached image. Please let me know where I went wrong. Thanks.

Your solution is not attached. I guess you forgot. Ok let me try this.

Your answer is correct, no need to worry. Answer may be wrong in that book or on internet. They are also humans, who write answers..So they can also mistake. Kindly contact your teacher too. We both are correct. No need to worry.