Question 1194936
<pre>

{{{drawing(400,940/3,-5,25,-5,18.5,

line(-6,0,26,0), line(-6, 13.48362648, 26, 13.48362648),
locate(0,0,A), locate(20,0,C), locate(7.78,15,B), 
locate(9,0,200),
locate(1,2,59^o),locate(2.81,1.38,"23'"), 

locate(15,2,48^o),locate(16.81,1.38,"17'"), 

line(0,0,7.979489417,13.48362648), line(7.979489417,13.48362648,20,0) )}}}

We will use the law of sines:

{{{b/sin(B)}}}{{{""=""}}}{{{c/sin(C)}}}

b = 200
sin(C) = sin(48<sup>o</sup>17') = 0.746444643

But we need angle B:

angle B = 180<sup>o</sup> - 59<sup>o</sup>23' - 48<sup>o</sup>17' = 72<sup>o</sup>20'

sin(B) = sin(72<sup>o</sup>20') = 0.9528381993

{{{200/0.9528381993}}}{{{""=""}}}{{{AB/0.746444643}}}

{{{0.9528381993*AB}}}{{{""=""}}}{{{200*0.746444643}}}

{{{0.9528381993*AB}}}{{{""=""}}}{{{149.2889286}}}

{{{AB}}}{{{""=""}}}{{{156.6781524}}}

Edwin</pre>