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.

Answer 1

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