Note that angle A =angle A
And angle CBA = angle EDA
So...by AA congruency....triangle CBA is similar to triangle EDA
[ Since BE = 10 and AE = 11, then BA = 21 ]
So...this implies that
BA / CA = DA / EA
21 / 35 = DA / 11 multiply both sides by 11
11 * 21 / 35 = DA
6.6 = DA