Mathematics Question and Solution
tan30 = 6/a
a = 6√(3) cm.
a = 10.39230484541 cm.
sin30 = 6/b
b = 12 cm.
cos15 = c/12
c = (3√(6)+3√(2)) cm.
c = 11.59110991547 cm.
d = 11.59110991547²+10.39230484541²-2*11.59110991547*10.39230484541cos45
d = 8.48528137424 cm.
(8.48528137424sin45) = (11.59110991547/sine)
e = 75°
f = √(100)
f = 10 cm.
g = 75-atan(3/4)
g = 38.13010235416°
cos38.13010235416 = h/10
h = 7.86610731855 cm.
j² = 7.86610731855²+8²-2*7.86610731855*8cos75
j = 9.65925826289 cm.
(9.65925826289/sin75) = (7.86610731855/sink)
k = 51.86989764582°
l = 180-51.86989764582-75
l = 53.13010235418°
Area Green exactly in decimal is;
0.5*9.65925826289*8.48528137424sin53.13010235418
= 32.78460969084 cm²
= 32.78 cm² to 2 decimal places.
