Question

A kayaker paddles at 4.0 m/s in a direction 30° south of west. He then turns and paddles at 3.7 m/s in a direction 20° west of south.

I know the formulas but having trouble figuring out the degree of angle.

Ax=4(cos30)= 3.4641
Ay=4(sin30)= 2

Bx=3.7(cos20)= 3.477
By=3.7 (sin20)= 1.2654

Rx = 3.4641 + 3.477 = 6.9411
Ry = 2+1.2654 = 3.2654

R=7.6708

tan theta = Rx/Ry
= 6.9411/3.2654
=2.125650762540577
=0.037116634989 SW

Please let me know if I am doing this correct

Answer 1

R=7.2
49 degrees south of west

Answer 2

Srry bro ur on your own

Answer 3

I know this is dead, but to find the degree of an angle after you solved for Tan(theta), you just do Tan^-1(2.125650762540577) which would be 64.80563. That is the degree. Hope this helps that one random person who sees this one day.

Answer 4

Thanks Jacob's awesome!