Answer:
[tex]m < C = 60[/tex]
Step-by-step explanation:
From the given right angled triangle, ∆ABC,
[tex] BC = Hypotenuse = 2\sqrt{11} [/tex]
[tex] AC = Adjacent = \sqrt{11} [/tex]
Thus, m<C can be found by applying the following trigonometric ratio formula as shown below:
[tex] cos(C) = \frac{adjacent}{hypotenuse} [/tex]
[tex] cos(C) = \frac{\sqrt{11}}{2\sqrt{11}} [/tex]
Evaluate: √11 cancels √11
[tex] cos(C) = \frac{1}{2} [/tex]
[tex] cos(C) = 0.5 [/tex]
[tex] C = cos^{-1}(0.5) [/tex]
[tex] C = 60 [/tex]
[tex]m < C = 60[/tex]
