Mathematics Question and Solution
Calculating the required angle, x.
a = (√(3)-1) units.
Observing similar plane shape (right-angled triangle) side length ratios.
√(3) - 1
b - (√(3)-1)
Calculating b. Cross Multiply.
3-√(3) = b
b = (3-√(3)) units.
c = √(3)-b
c = √(3)-(3-√(3))
c = (2√(3)-3) units.
tand = c/√(3)
tand = (2√(3)-3)/√(3)
d = atan(⅓(6-3√(3)))
d = atan(2-√(3))°
Therefore, x, the required angle is;
x = 90-d
x = 90-atan(2-√(3))
x = 90-15
x = 75°
