Mathematics Question and Solution
Let the square side length be 1 unit.
a = 1+1
a = 2 units.
a is twice the side length of the square which is also the height of the equilateral triangle.
Therefore;
tan60 = 2/b
b = ⅓(2√(3)) units.
b = 1.1547005384 units.
c = 2b
c = ⅓(4√(3)) units.
c = 2.3094010768 units.
c is the the side length of the equilateral triangle.
d = b-1
d = 0.1547005384 units.
cos60 = 0.1547005384/e
e = 0.3094010768 units.
f² = 0.3094010768²+1.1547005384²-2*0.3094010768*1.1547005384cos60
f = 1.0352761804 units.
(1.0352761804/sin60) = (1.1547005384/sing)
g = 75°
It implies, the required angle '?' is g.
? = 75°
