Finding the lengths of this triangle?

Question

please help, i'm to answer the question. The length of AB is 14.67106m. Please give working outs.

Answer 1

Hint: (i)(a)$AC=26m,CE=3.2m$ using this and Pythagoras theorem in $\triangle ACE$, can something be inferred about AE?

(b) M is not given as midpoint of AC. You have already found $AB$ (assuming that its correct), you know $BM=10-3.2$, again using Pythagoras theorem, can something be inferred about $AM$ (and hence $MC=FE$)? Use $FE,FB$ in $\triangle FEB$ to find $BE$.

(ii) Knowing $AE,AG,GE$, using $\triangle AGE$, you can find $\angle AEG$ and knowing $FE,BF,BE$, using $\triangle FBE$, you can find $\angle BEF$ and hence $\angle AEB$