Question 900606
<pre>
{{{drawing(400,112,-1,11.5,-.5,3,
locate(0,0,A),locate(4.967,0,B),locate(10.482,0,C),locate(10.55,2.5,D),
triangle(0,0,4.967,0,10.482,2.228), triangle(4.967,0,10.482,2.228,10.482,0),
locate(2,.45,"12°"), locate(6,.5,"22°"),locate(10.55,1.3,2228) 


)}}}

We are trying to find AB.

First we find AC using triangle ACD

{{{tan("12°")=2228/AC}}}

{{{AC*tan("12°")=2228}}}

{{{AC=2228/tan("12°")}}}

{{{AC=10481.91588}}}

Next we find BC using triangle BCD

{{{tan("22°")=2228/BC}}}

{{{BC*tan("22°")=2228}}}

{{{BC=2228/tan("22°")}}}

{{{BC=5514.493509}}}

{{{AB=AC-BC=10481.91588-5514.493509=4967.422375}}}

Answer rounded to nearest meter = 4967 m.

Edwin</pre>