Mathematics Question and Solution
Let b be 1 unit.
a = 50°
b = 40°
a and b are the two interior complementary angles or acute angles of the small right-angled triangle with hypotenuse b.
sin50 = c/b
c = sin50
c = 0.7660444431 units.
d = 90+40
d = 130°
e = 180-b-d
e = 180-170
e = 10°
It implies;
Calculating r.
(0.7660444431/sin10) = (f/sin130)
where f is (b+r).
f = 3.3793852416 units.
Again, f is (b+r).
Therefore;
b+r = 3.3793852416
And b = 1 unit.
1+r = 3.3793852416
r = 3.3793852416-1
r = 2.3793852416 units.
It implies;
r/b is;
2.3793852416/1
= 2.3793852416 units.
