Mathematics Question and Solution
a = atan(3/2)°
b = atan(2/3)°
b = Angle BEG.
tan(atan(2/3)) = c/2
⅔ = c/2
c = (4/3) cm.
c = BG.
OG = 2-(4/3)
OG = ⅔ cm.
Notice;
Radius of the circle is 2 cm.
Angle OGH = 180-atan(3/2) = 123.69006752598°
(2/sin123.69006752598) = ((⅔)/sind)
d = 16.10211375199°
d = Angle OHG.
Angle GOH = 180-16.1021137519-123.69006752598 = 40.20781872212°
It implies;
Length GH is;
(GH/sin40.20781872212) = ((2/3)/sin16.10211375199)
GH = 1.55173771485 cm.
