Question 1022055
Measure all angles from East.
{{{A}}}=({{{16cos(30)}}},{{{16sin(30)}}})
{{{B}}}=({{{12cos(250)}}},{{{12sin(250)}}})
So then,
{{{R}}}=({{{16cos(30)+12cos(250)}}},{{{16sin(30)+12sin(250)}}})
{{{R}}}=({{{10.32923-5.47232}}},{{{6-15.0351}}})
{{{R}}}=({{{4.919983}}},{{{-9.03508}}})
{{{abs(R)=10.29}}}
{{{theta=tan^(-1)(-9.03508/4.919983))}}}
{{{theta=298.6}}}
61.4 degrees South of East
*[illustration fq5.JPG].