Mathematics Question and Solution
Let BD be 1 unit.
(a/sin84) = (1/sin54)
a = 1.22929666779 units.
a is AC.
b = 180-54
b = 126°
b is angle BDC.
(BC)² = 1.22929666779²+1-2*1.22929666779cos126
BC = 1.98904379074 units.
Calculating angle B or angle ABC.
Let it be c.
(1.98904379074/sin126) = (1.22929666779/sinc)
c = 30°
It implies;
AB ÷ AD is;
Notice;
BD = 1 unit.
Calculating AD.
(1/sin54) = (AD/sin42)
AD = (sin42/sin54) units.
AB/AD is;
(1+(sin42/sin54))/(sin42/sin54)
In decimal.
AB/AD is;
(0.82709091529+1)/ 0.82709091529
= 1.82709091529/0.82709091529
= 2.20905692653
Proved.
