Mathematics Question and Solution
Calculating red length.
Observing Cosine Rule.
a² = 8²+12²-2*8*12cos40
a = 7.8050923711 units.
a is BD, the red length.
Observing Sine Rule.
(7.8050923711/sin40) = (12/sinb)
b = 81.2114041855°
b is angle ADC.
c+70+81.2114041855 = 180
c = 28.7885958145°
c is angle CAD.
It implies;
Green Length is;
Again, Observing Sine Rule.
(8/sin28.7885958145) = (d/sin70)
d = 15.6101847422 units.
Therefore;
Green Length ÷ Red Length
= 15.6101847422÷7.8050923711
= 2
