Question 964721
{{{drawing(300,300,-10,10,-10,10,circle(-8,-8,0.2),circle(-8,6,0.2),circle(4,8,0.2),
line(-8,-8,-8,6),
line(-8,6,4,8),
line(4,8,-8,-8),
locate(-8,-8.5,A),
locate(-8,7.5,B),
locate(4.5,9,C),
locate(-9,0,X),
blue(line(-10,-8,10,-8)),
blue(line(-10,6,10,6)))}}}
Find angle BAC since the angles sum to 180.
{{{BAC+20+100=180}}}
{{{BAC=60}}}
Use the law of sines,
{{{250/sin(60)=X/sin(20)}}}
{{{X=250(sin(20)/sin(60))}}}
{{{X=250(0.3949)}}}
{{{X=98.7}}} {{{ft}}}