Mathematics Question and Solution
Let to theta be x.
Let beta be y.
a = 90+60
a = 150°
b = ½(180-150)
b = 15°
c = 90-15
c = 75°
Therefore, x is;
x = c
x = 75° (vertically opposite angles are equal).
Calculating y.
Let the side length of the square be 1 unit.
cos15 = 1/d
d = 1.0352761804 units.
e² = 1+1.0352761804²-2*1.0352761804cos75
e = 1.2393136749 units.
Angle y is;
(1.2393136749/sin75) = (1/siny)
y = 51.2060231134°
It implies;
tanx ÷ tany is;
= tan(75)÷tan(51.2060231134)
= 3
