Mathematics Question and Solution
Notice!
The composite plane shape consist of two squares.
Calculating length x.
Sin30 = 1/a
a = 2 units.
a is the side length of the bigger square.
b² = 2a²
b² = 2(2²)
b = √(8)
b = 2√(2) units.
b is the diagonal of the bigger square.
c = 45-30
c = 15°
Therefore, the required angle, x is;
x² = 1+(2√(2))²-2*1*2√(2)cos15
x = √(9-4√(2)cos15)
x = √(9-2(1+√(3))
x = √(7-2√(3)) units.
x = 1.8803984644 units.
