Let the orthocenter be denoted by O
EC = 11.59110992
EO = 1.793150945
CO = 9.797958975
I don't know how to write the length of EC in that particular form.
This is all I could've done.
+118609 Steps
1) Draw a bigger pic and put all the given info on it.
2) Every angle there is easy to find, find them all.
3) consider triangle EBC
Sin EBC = EC/12
angle EBS = angle EBD+angle DBC
so
\(sin(\angle EBD+\angle DBC)=\frac{EC}{12}\)
You will need to use the sin (A+B) formula to solve this.
Now try filling in all the blanks for yourself.
