Mathematics Question and Solution
a = 90+20
a = 110°
sin20 = b/1
b = sin20 units.
b = 0.3420201433 units.
cos20 = c/1
c = cos20 units.
c = 0.9396926208 units.
Calculating d, the square side length observing similar plane shape side lengths (right-angled triangle) ratios.
1 - 0.3420201433
d - 0.9396926208
Cross Multiply.
0.9396926208 = 0.3420201433d
d = 2.7474774197 units.
Therefore y is;
d-1
y = 2.7474774197-1
y = 1.7474774197 units.
Calculating x.
x² = 1²+1²-2*1*1cos110
x = √(2.6840402867)
x = 1.6383040886 units.
It implies;
x/y
= 1.6383040886/1.7474774197
= 0.9375251835
≈ 0.94 to 2 decimal places.
