Mathematics Question and Solution
Calculating Theta.
Let it be x
Let 1 units be the side length of the square.
tan15 = b/1
b = tan15 units.
b = 0.26794919243 units.
b is length AF.
a+b = 1
a = 1-b
a = 1-0.26794919243
a = 0.73205080757 units.
a is length AE = length DF.
c² = 1²+0.73205080757²-2*1*0.73205080757cos30
c = 0.5176380902 units.
c is length DE.
Calculating Theta, angle x.
It implies;
(0.73205080757/sinx) = (0.5176380902/sin30)
sinx = (0.73205080757sin30)/0.5176380902
x = asin(0.70710678119)
x = 45°
Again, x is theta.
