Mathematics Question and Solution
Notice!
The ascribed triangle is equilateral.
Calculating the required angle x.
a² = 1+3²-2*3cos60
a = √(7) units.
(√(7)/sin60) = (1/sinb)
b = 19.1066053509°
c = 60-b
c = 40.8933946491°
d = 180-b-c
d = 120°
(3/sin120) = (e/sin40.8933946491)
e = 2.2677868381 units.
f² = 2.2677868381²+3²-2*2.2677868381*3cos40.8933946491
f = 1.9639610121 units.
Therefore, the required angle x is;
(3/sinx) = (1.9639610121/sin40.8933946491)
x = 90°
