Mathematics Question and Solution
OD = DM = 6√(2) cm.
a = atan(6√(2)/12)
a = 35.26438968275°
a = Angle OCD = Angle CDM.
tan35.26438968275 = b/(6√(2))
b = 6 cm.
b = EM.
EN = 6√(2)-6 cm.
EN = 2.48528137424 cm.
c = 12+6√(2)-6
c = 6+6√(2) cm.
d = atan(6√(2)/(6+6√(2)))
d = 30.36119340482°
d = Angle EAD.
sin30.36119340482 = 6√(2)/e
e = 16.78759591159 cm.
cos30.36119340482 = 12/f
f = 13.90729981244 cm.
Therefore;
Length EF is;
16.78759591159-13.90729981244
= 2.88029609915 cm.
