Mathematics Question and Solution
Calculating angle alpha, let it be x.
Let the equal squares side length be 2 units.
2² = 1²+a²
a = √(3) units.
b = a-1
b = (√(3)-1) units.
b = 0.73205080757 units.
sinc = 1/2
c = 30°
tan30 = d/0.73205080757
d = 0.42264973081 units.
cos30 = 0.73205080757/e
e = 0.84529946162 units.
f = 2-e
f = 1.15470053838 units.
g² = 1.15470053838²+2²
g = 2.30940107676 units.
h = g+d
h = 2.73205080757 units.
j = h-2
j = 0.73205080757 units.
tank = 1.15470053838/2
k = 30°
tan30 = l/0.73205080757
l = 0.42264973081 units.
m = 2-l
m = 1.57735026919 units.
Therefore, the required angle alpha (x) is;
tanx = 1.57735026919/0.42264973081
x = atan(1.57735026919/0.42264973081)
x = 75°
