Mathematics Question and Solution
Notice.
ABCD is a square.
Let AB equal 1 unit.
sin70 = 1/a
a = 1.0641777725 units.
a is AE.
b = 90-70
b = 20°
b is angle DAE.
c = 90-45-20
c = 25°
c is angle BAF.
cos25 = 1/d
d = 1.103377919 units.
d is AF.
e² = 1.103377919²+1.0641777725²-2*1.103377919*1.0641777725cos45
e = 0.8302778924 units.
e is EF.
Therefore, the required angle is;
Let it be f.
(0.8302778924/sin45) = (1.0641777725/sinf)
f = 65°
Again, f is the required angle.
