Question 1083897
{{{X+50+90=180}}}
{{{X=40}}}
and
{{{30+50+Y=180}}}
{{{Y=100}}}
.
.
.
Using the law of sines,
{{{sin(50)/5=sin(30)/QS}}}
{{{QS=5*(sin(30)/sin(50))}}}
{{{QS=5*0.6527}}}
{{{QS=3.26}}}
Again using the law of sines,
{{{sin(90)/QS=sin(X)/PQ}}}
{{{PQ=3.26*(sin(40)/1)}}}
{{{PQ=2.098}}}