Mathematics Question and Solution
Calculating x.
Let the two congruent lengths of the plane shape be 1 unit.
(a/sin11) = (1/sin22)
a = 0.50935834748 units.
(b/sin147) = (1/sin22)
b = 1.45389601942 units.
c = 1+a
c = 1.50935834748 units.
d = 1+b
d = 2.45389601942 units.
It implies;
e² = 2.45389601942²+1.50935834748²-2*2.45389601942*1.50935834748cos11
e = 1.01402672537 units.
Required angle x is;
(1.01402672537/sin11) = (1.50935834748/sinx)
x =16.5°
