Mathematics Question and Solution
Calculating area inscribed yellow rectangle.
tana = 20/15
a = atan(4/3)
b = 90+a
b = (90+atan(4/3))°
(20/sin(90+atan(4/3))) = (15/sinc)
c = 26.7436839504°
d = 180-(90+atan(4/3))-26.7436839504
d = 10.1262136954°
(e/sin10.1262136954) = (20/sin(90+atan(4/3)))
e = 5.8605710995 units.
e is the width of the inscribed yellow rectangle.
f = 90-26.7436839504
f = 63.2563160496°
h = 180-2(63.2563160496)
h = 53.4873679008°
It implies;
j² = 20²+20²-2*20*20cos53.4873679008
j = 18 units.
j is the length of the inscribed yellow rectangle.
Area inscribed yellow rectangle is:
je
= 18*5.8605710995
= 105.490279791 square units.
