Mathematics Question and Solution
Calculating angle x.
Let AR be 1 unit.
a = 180-24-15
a = 180-39
a = 141°
a is angle ARK.
(1/sin15) = (b/sin141)
b = 2.4315072749 units.
b is AK.
c = 180-12-6
c = 180-18
c = 162°
c is angle ABK.
(2.4315072749/sin162) = (d/sin12)
d = 1.6359578857 units.
d is AB.
e = 24+6
e = 30°
e is angle BAR.
f² = 1.6359578857²+1²-2*1.6359578857*1cos30
f = 0.9180392294 units.
f is BR.
Therefore, the required angle, x is;
(0.9180392294/sin30) = (1/sinx)
x = 33°
