Mathematics Question and Solution
Let the length (base) of the ascribed rectangle be 4 units.
Therefore its width/breadth/height is 2 units.
tana = 4/2
a = atan(2)°
b = atan(½)°
sin(atan(½)) = c/4
c = 3.577708764 units.
d² = 4²+2²
d = 4.472135955 units.
e = d-c
e = 0.894427191 units.
f = 180-2atan(½)
f = 126.8698976458°
g² = 2-2cos126.8698976458
g = 1.788854382 units.
h = g-e
h = 0.894427191 units.
j = 90-atan(2)
j = 26.5650511771°
k = 2j
k = 53.1301023542°
cos53.1301023542 = l/1
l = 0.6 units.
m = 2l
m = 1.2 units.
n² = 0.894427191²+1.2²-2*0.894427191*1.2cos(atan(0.5))
n = 0.5656854249 units.
Therefore, the required angle, x is;
(0.5656854249/sin(atan(.
0.5))) = (0.894427191/sinx)
x = 45°
