I am working my way through a book called Trigonometry: A Complete Introduction.
I am stuck on one of the triangulation questions and was wondering of someone could help. The answer is 2.23 km but i don't get anywhere near that answer.
Can someone help?

HINT
Perhaps the following figure will help:
Consider that
$$x+y=m\cot(\alpha)+m\cot(\beta)=5.$$
Now, you have $m$. Then $m'$. Then $h$.