Mathematics Question and Solution
Calculating the required red angle.
Let it be x.
Notice.
The composite plane shape is not drawn to scale.
Let the both equal lengths that makes the hypotenuse of the ascribed right-angled triangle be 1 unit each.
Let the other two equal lengths of the ascribed right-angled triangle be y each.
a = 1+1
a = 2 units.
It implies;
y ~ b
2 ~ 1
Cross Multiply.
b = ½(y) units.
c = 90-75
c = 15°
Calculating y.
sin15 = b/1
sin15 = 0.5y
y = sin15/0.5
y = ½(√(6)-√(2)) units.
y = 0.51763809021 units.
d² = 1²+0.51763809021²-2*1*0.51763809021cos15
d = 0.5176380902 units.
It implies, the required red angle x is;
90-75
x = 15°
