Question 928441
Look at the components of each vector.
u=({{{57}}},{{{0}}})
v=({{{57cos(12)}}},{{{57sin(12)}}})
Adding them,
u+v=({{{57+57cos(12)}}},{{{0+57sin(12)}}})
u+v=({{{57+57cos(12)}}},{{{57sin(12)}}})
or approximately
u+v=({{{112.75}}},{{{11.85}}})
So then the magnitude is,
{{{abs(u+v)=sqrt(112.75^2+11.85^2)}}}
{{{abs(u+v)=113.4}}}
The angle is that u+v makes with u is 1/2 the original angle, {{{alpha=6}}}