Calculating angle x
Let AC = CD = a.
b² = a²+10²
b = √(a²+100) units.
It implies, observing similar plane shape (right-angled) side length ratios to get a.
a - √(a²+100)
5 - 10
Cross Multiply.
10a = 5√(a²+100)
2a = √(a²+100)
4a² = a²+100
3a² = 100
a = √(100/3)
a = 10/√(3)
a = ⅓(10√(3)) units.
The required angle, x is;
tanx = a/10
tanx = ⅓(10√(3))/(10)
tanx = ⅓√(3)
x = atan(⅓√(3))
x = 30°
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