Mathematics Question and Solution
a = 1+2+1
a = 4 units.
a is the side length of the square.
tanb = 4/2
b = atan(2)°
tanc = 4/1
c = atan(4)°
d = 180-b-c
d = (180-atan(2)-atan(4))°
Observing Sine Rule.
(1/sin(180-atan(2)-atan(4))) = (e/sin(atan(4)))
e = 1.490711985 units.
f = 180-b
f = (180-atan(2))°
Observing Cosine Rule.
g² = 1.490711985²+2²-2*2*1.490711985cos(180-atan(2))
g = 2.98142397 units.
Therefore, the required angle, x is;
Observing Sine Rule.
(2.98142397/sin(180-atan(2))) = (2/sinx)
sinx = (3/5)
x = 36.8698976458°
